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1049380000 = 255471739
BaseRepresentation
bin111110100011000…
…100010010100000
32201010121000201221
4332203010102200
54122120130000
6252043504424
735001403624
oct7643042240
92633530657
101049380000
114993907a9
12253528114
13139539316
149d523184
15621d761a
hex3e8c44a0

1049380000 has 120 divisors (see below), whose sum is σ = 2621535840. Its totient is φ = 413280000.

The previous prime is 1049379997. The next prime is 1049380027. The reversal of 1049380000 is 839401.

It is a super-2 number, since 2×10493800002 = 2202396768800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1419631 + ... + 1420369.

It is an arithmetic number, because the mean of its divisors is an integer number (21846132).

Almost surely, 21049380000 is an apocalyptic number.

1049380000 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 1049380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310767920).

1049380000 is an abundant number, since it is smaller than the sum of its proper divisors (1572155840).

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

1049380000 is an frugal number, since it uses more digits than its factorization.

1049380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 1049380000 is about 32394.1352716815. The cubic root of 1049380000 is about 1016.1962648102.

The spelling of 1049380000 in words is "one billion, forty-nine million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 739 800 1000 1136 1250 1420 1478 1775 2000 2272 2500 2840 2956 3550 3695 4000 5000 5680 5912 7100 7390 8875 10000 11360 11824 14200 14780 17750 18475 20000 23648 28400 29560 35500 36950 44375 52469 56800 59120 71000 73900 88750 92375 104938 118240 142000 147800 177500 184750 209876 262345 284000 295600 355000 369500 419752 461875 524690 591200 710000 739000 839504 923750 1049380 1311725 1420000 1478000 1679008 1847500 2098760 2623450 2956000 3695000 4197520 5246900 6558625 7390000 8395040 10493800 13117250 14780000 20987600 26234500 32793125 41975200 52469000 65586250 104938000 131172500 209876000 262345000 524690000 1049380000