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1049371380 = 2232529533793
BaseRepresentation
bin111110100011000…
…010001011110100
32201010120120220200
4332203002023310
54122114341010
6252043400500
735001336531
oct7643021364
92633516820
101049371380
11499385282
12253523130
13139535415
149d51dd88
15621d4cc0
hex3e8c22f4

1049371380 has 144 divisors (see below), whose sum is σ = 3355868880. Its totient is φ = 265015296.

The previous prime is 1049371369. The next prime is 1049371391. The reversal of 1049371380 is 831739401.

It is a happy number.

1049371380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1049371369) and next prime (1049371391).

It can be written as a sum of positive squares in 8 ways, for example, as 14333796 + 1035037584 = 3786^2 + 32172^2 .

It is a super-2 number, since 2×10493713802 = 2202360586326208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274764 + ... + 278556.

It is an arithmetic number, because the mean of its divisors is an integer number (23304645).

Almost surely, 21049371380 is an apocalyptic number.

1049371380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049371380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677934440).

1049371380 is an abundant number, since it is smaller than the sum of its proper divisors (2306497500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1049371380 is a wasteful number, since it uses less digits than its factorization.

1049371380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1049371380 is about 32394.0022226337. The cubic root of 1049371380 is about 1016.1934823305.

The spelling of 1049371380 in words is "one billion, forty-nine million, three hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 522 530 580 636 795 870 954 1044 1060 1305 1537 1590 1740 1908 2385 2610 3074 3180 3793 4611 4770 5220 6148 7586 7685 9222 9540 11379 13833 15172 15370 18444 18965 22758 23055 27666 30740 34137 37930 45516 46110 55332 56895 68274 69165 75860 92220 109997 113790 136548 138330 170685 201029 219994 227580 276660 329991 341370 402058 439988 549985 603087 659982 682740 804116 989973 1005145 1099970 1206174 1319964 1649955 1809261 1979946 2010290 2199940 2412348 3015435 3299910 3618522 3959892 4020580 4949865 5829841 6030870 6599820 7237044 9046305 9899730 11659682 12061740 17489523 18092610 19799460 23319364 29149205 34979046 36185220 52468569 58298410 69958092 87447615 104937138 116596820 174895230 209874276 262342845 349790460 524685690 1049371380