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21693936 = 24311181227
BaseRepresentation
bin101001011000…
…0010111110000
31111211011111010
41102300113300
521023201221
62052550520
7352252425
oct122602760
944734433
1021693936
1111277a80
127322440
134657464
142c49d4c
151d87c76
hex14b05f0

21693936 has 80 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 6508800.

The previous prime is 21693911. The next prime is 21693937. The reversal of 21693936 is 63939612.

It is a junction number, because it is equal to n+sod(n) for n = 21693894 and 21693903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21693937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95455 + ... + 95681.

Almost surely, 221693936 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 21693936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

21693936 is an abundant number, since it is smaller than the sum of its proper divisors (40052112).

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

21693936 is a wasteful number, since it uses less digits than its factorization.

21693936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 52488, while the sum is 39.

The square root of 21693936 is about 4657.6749564563. The cubic root of 21693936 is about 278.8984612714.

It can be divided in two parts, 2169 and 3936, that added together give a triangular number (6105 = T110).

The spelling of 21693936 in words is "twenty-one million, six hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 181 227 264 362 454 528 543 681 724 908 1086 1362 1448 1816 1991 2172 2497 2724 2896 3632 3982 4344 4994 5448 5973 7491 7964 8688 9988 10896 11946 14982 15928 19976 23892 29964 31856 39952 41087 47784 59928 82174 95568 119856 123261 164348 246522 328696 451957 493044 657392 903914 986088 1355871 1807828 1972176 2711742 3615656 5423484 7231312 10846968 21693936