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21107136 = 263472339
BaseRepresentation
bin101000010000…
…1000111000000
31110201100112210
41100201013000
520400412021
62032222120
7344256561
oct120410700
943640483
1021107136
1110a07116
12709a940
1344b033b
142b36168
151cbde76
hex14211c0

21107136 has 56 divisors (see below), whose sum is σ = 57058560. Its totient is φ = 6883072.

The previous prime is 21107117. The next prime is 21107167. The reversal of 21107136 is 63170112.

It is a super-2 number, since 2×211071362 = 891022380244992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7855 + ... + 10193.

Almost surely, 221107136 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 21107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

21107136 is an abundant number, since it is smaller than the sum of its proper divisors (35951424).

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

21107136 is a wasteful number, since it uses less digits than its factorization.

21107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 21107136 is about 4594.2503196931. The cubic root of 21107136 is about 276.3607967894.

Adding to 21107136 its reverse (63170112), we get a palindrome (84277248).

The spelling of 21107136 in words is "twenty-one million, one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 2339 3008 4512 4678 7017 9024 9356 14034 18712 28068 37424 56136 74848 109933 112272 149696 219866 224544 329799 439732 449088 659598 879464 1319196 1758928 2638392 3517856 5276784 7035712 10553568 21107136