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1038990120 = 233572176699
BaseRepresentation
bin111101111011011…
…011101100101000
32200102001011111120
4331323123230220
54111440140440
6251033055240
734514161500
oct7573335450
92612034446
101038990120
11493534723
1224bb57520
1313733c16c
149bdbaa00
1561333dd0
hex3dedbb28

1038990120 has 96 divisors (see below), whose sum is σ = 3625884000. Its totient is φ = 237482112.

The previous prime is 1038990103. The next prime is 1038990181. The reversal of 1038990120 is 210998301.

It is a super-2 number, since 2×10389901202 = 2159000938915228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82470 + ... + 94229.

It is an arithmetic number, because the mean of its divisors is an integer number (37769625).

Almost surely, 21038990120 is an apocalyptic number.

1038990120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038990120 is an abundant number, since it is smaller than the sum of its proper divisors (2586893880).

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

1038990120 is a wasteful number, since it uses less digits than its factorization.

1038990120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176727 (or 176716 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1038990120 is about 32233.3696656121. The cubic root of 1038990120 is about 1012.8313586995.

The spelling of 1038990120 in words is "one billion, thirty-eight million, nine hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 176699 353398 530097 706796 883495 1060194 1236893 1413592 1766990 2120388 2473786 2650485 3533980 3710679 4240776 4947572 5300970 6184465 7067960 7421358 8658251 9895144 10601940 12368930 14842716 17316502 18553395 21203880 24737860 25974753 29685432 34633004 37106790 43291255 49475720 51949506 69266008 74213580 86582510 103899012 129873765 148427160 173165020 207798024 259747530 346330040 519495060 1038990120