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20125952 = 287111021
BaseRepresentation
bin100110011000…
…1100100000000
31101212111121122
41030301210000
520123012302
61555211412
7333032150
oct114614400
941774548
1020125952
11103a6a20
1268a6b68
134228862
14295c760
151b783a2
hex1331900

20125952 has 72 divisors (see below), whose sum is σ = 50135232. Its totient is φ = 7833600.

The previous prime is 20125907. The next prime is 20125979. The reversal of 20125952 is 25952102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19202 + ... + 20222.

Almost surely, 220125952 is an apocalyptic number.

20125952 is a gapful number since it is divisible by the number (22) 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 20125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067616).

20125952 is an abundant number, since it is smaller than the sum of its proper divisors (30009280).

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

20125952 is a wasteful number, since it uses less digits than its factorization.

20125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 20125952 is about 4486.1957157485. The cubic root of 20125952 is about 272.0103802267.

The spelling of 20125952 in words is "twenty million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1021 1232 1408 1792 2042 2464 2816 4084 4928 7147 8168 9856 11231 14294 16336 19712 22462 28588 32672 44924 57176 65344 78617 89848 114352 130688 157234 179696 228704 261376 314468 359392 457408 628936 718784 914816 1257872 1437568 1829632 2515744 2875136 5031488 10062976 20125952