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900899964 = 2232297011231
BaseRepresentation
bin110101101100101…
…010010001111100
32022210012110102100
4311230222101330
53321112244324
6225221225100
731216344336
oct6554522174
92283173370
10900899964
11422597528
12211862190
13114850203
1487912456
15541584c9
hex35b2a47c

900899964 has 72 divisors (see below), whose sum is σ = 2361078720. Its totient is φ = 289296000.

The previous prime is 900899947. The next prime is 900899971. The reversal of 900899964 is 469998009.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 900899964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731229 + ... + 732459.

It is an arithmetic number, because the mean of its divisors is an integer number (32792760).

Almost surely, 2900899964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900899964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

900899964 is an abundant number, since it is smaller than the sum of its proper divisors (1460178756).

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

900899964 is a wasteful number, since it uses less digits than its factorization.

900899964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 900899964 is about 30014.9956521736. The cubic root of 900899964 is about 965.8110943188.

The spelling of 900899964 in words is "nine hundred million, eight hundred ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 701 1044 1231 1402 2103 2462 2804 3693 4206 4924 6309 7386 8412 11079 12618 14772 20329 22158 25236 35699 40658 44316 60987 71398 81316 107097 121974 142796 182961 214194 243948 321291 365922 428388 642582 731844 862931 1285164 1725862 2588793 3451724 5177586 7766379 10355172 15532758 25024999 31065516 50049998 75074997 100099996 150149994 225224991 300299988 450449982 900899964