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1137902900 = 2252472391013
BaseRepresentation
bin100001111010011…
…0000010100110100
32221022011110022212
41003310300110310
54312300343100
6304525112552
740125005111
oct10364602464
92838143285
101137902900
11534353322
122790b8758
13151991b34
14ab1a7908
1569d71635
hex43d30534

1137902900 has 72 divisors (see below), whose sum is σ = 2534837760. Its totient is φ = 443175040.

The previous prime is 1137902893. The next prime is 1137902911. The reversal of 1137902900 is 92097311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122794 + ... + 1123806.

It is an arithmetic number, because the mean of its divisors is an integer number (35206080).

Almost surely, 21137902900 is an apocalyptic number.

1137902900 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 1137902900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267418880).

1137902900 is an abundant number, since it is smaller than the sum of its proper divisors (1396934860).

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

1137902900 is a wasteful number, since it uses less digits than its factorization.

1137902900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1137902900 is about 33732.8163662627. The cubic root of 1137902900 is about 1044.0029714198.

The spelling of 1137902900 in words is "one billion, one hundred thirty-seven million, nine hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 239 470 478 940 956 1013 1175 1195 2026 2350 2390 4052 4700 4780 5065 5975 10130 11233 11950 20260 22466 23900 25325 44932 47611 50650 56165 95222 101300 112330 190444 224660 238055 242107 280825 476110 484214 561650 952220 968428 1123300 1190275 1210535 2380550 2421070 4761100 4842140 6052675 11379029 12105350 22758058 24210700 45516116 56895145 113790290 227580580 284475725 568951450 1137902900