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1054369120 = 25574122961
BaseRepresentation
bin111110110110000…
…110010101100000
32201110222111112011
4332312012111200
54124404302440
6252342442304
735061663310
oct7666062540
92643874464
101054369120
114a1189142
12255133394
1313a59516c
14a0061440
15628709ea
hex3ed86560

1054369120 has 96 divisors (see below), whose sum is σ = 2916357696. Its totient is φ = 352665600.

The previous prime is 1054369111. The next prime is 1054369133. The reversal of 1054369120 is 219634501.

1054369120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10543691202 = 2223388482419148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34440 + ... + 57400.

It is an arithmetic number, because the mean of its divisors is an integer number (30378726).

Almost surely, 21054369120 is an apocalyptic number.

1054369120 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 1054369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458178848).

1054369120 is an abundant number, since it is smaller than the sum of its proper divisors (1861988576).

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

1054369120 is a wasteful number, since it uses less digits than its factorization.

1054369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23024 (or 23016 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1054369120 is about 32471.0504911683. The cubic root of 1054369120 is about 1017.8041702816.

The spelling of 1054369120 in words is "one billion, fifty-four million, three hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 22961 45920 45922 91844 114805 160727 183688 229610 321454 367376 459220 642908 734752 803635 918440 941401 1285816 1607270 1836880 1882802 2571632 3214540 3673760 3765604 4707005 5143264 6429080 6589807 7531208 9414010 12858160 13179614 15062416 18828020 25716320 26359228 30124832 32949035 37656040 52718456 65898070 75312080 105436912 131796140 150624160 210873824 263592280 527184560 1054369120