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900130944 = 27323101917
BaseRepresentation
bin110101101001101…
…110100010000000
32022201202101112010
4311221232202000
53320413142234
6225152532520
731206662316
oct6551564200
92281671463
10900130944
11422111779
12211551140
1311464117b
14877920b6
15540556e9
hex35a6e880

900130944 has 64 divisors (see below), whose sum is σ = 2494952640. Its totient is φ = 286995456.

The previous prime is 900130939. The next prime is 900130961. The reversal of 900130944 is 449031009.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9001309442 = 1620471432692662272, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 42127 + ... + 59790.

It is an arithmetic number, because the mean of its divisors is an integer number (38983635).

Almost surely, 2900130944 is an apocalyptic number.

It is an amenable number.

900130944 is an abundant number, since it is smaller than the sum of its proper divisors (1594821696).

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

900130944 is a wasteful number, since it uses less digits than its factorization.

900130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101957 (or 101945 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 900130944 is about 30002.1823206246. The cubic root of 900130944 is about 965.5362064246.

The spelling of 900130944 in words is "nine hundred million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 101917 203834 305751 407668 611502 815336 1223004 1630672 2344091 2446008 3261344 4688182 4892016 6522688 7032273 9376364 9784032 13045376 14064546 18752728 19568064 28129092 37505456 39136128 56258184 75010912 112516368 150021824 225032736 300043648 450065472 900130944