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21163136 = 271011637
BaseRepresentation
bin101000010111…
…0110010000000
31110211012100212
41100232302000
520404210021
62033333252
7344612051
oct120566200
943735325
1021163136
1110a451a5
127107228
1344cc987
142b4c728
151cd085b
hex142ec80

21163136 has 32 divisors (see below), whose sum is σ = 42604380. Its totient is φ = 10470400.

The previous prime is 21163133. The next prime is 21163139. The reversal of 21163136 is 63136112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21163133) and next prime (21163139).

It can be written as a sum of positive squares in 2 ways, for example, as 21160000 + 3136 = 4600^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (21163133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12110 + ... + 13746.

Almost surely, 221163136 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 21163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302190).

21163136 is an abundant number, since it is smaller than the sum of its proper divisors (21441244).

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

21163136 is a wasteful number, since it uses less digits than its factorization.

21163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 21163136 is about 4600.3408569366. The cubic root of 21163136 is about 276.6049881055.

Adding to 21163136 its reverse (63136112), we get a palindrome (84299248).

It can be divided in two parts, 2116 and 3136, that multiplied together give a square (6635776 = 25762).

The spelling of 21163136 in words is "twenty-one million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 1637 3232 3274 6464 6548 12928 13096 26192 52384 104768 165337 209536 330674 661348 1322696 2645392 5290784 10581568 21163136