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19900056 = 23311431753
BaseRepresentation
bin100101111101…
…0011010011000
31101110000202010
41023322122120
520043300211
61550305520
7331101441
oct113723230
941400663
1019900056
1110262230
1267b82a0
134179aa7
1429002c8
151b314a6
hex12fa698

19900056 has 64 divisors (see below), whose sum is σ = 55566720. Its totient is φ = 5886720.

The previous prime is 19900009. The next prime is 19900057. The reversal of 19900056 is 65000991.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19899996 and 19900032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19900057) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10476 + ... + 12228.

It is an arithmetic number, because the mean of its divisors is an integer number (868230).

Almost surely, 219900056 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 19900056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27783360).

19900056 is an abundant number, since it is smaller than the sum of its proper divisors (35666664).

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

19900056 is a wasteful number, since it uses less digits than its factorization.

19900056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 19900056 is about 4460.9478813364. The cubic root of 19900056 is about 270.9888568105.

The spelling of 19900056 in words is "nineteen million, nine hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1753 1892 2838 3506 3784 5259 5676 7012 10518 11352 14024 19283 21036 38566 42072 57849 75379 77132 115698 150758 154264 226137 231396 301516 452274 462792 603032 829169 904548 1658338 1809096 2487507 3316676 4975014 6633352 9950028 19900056