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21157656 = 23313173989
BaseRepresentation
bin101000010110…
…1011100011000
31110210220211220
41100231130120
520404021111
62033252040
7344560062
oct120553430
943726756
1021157656
1110a41073
127104020
1344ca330
142b4a732
151ccde06
hex142d718

21157656 has 64 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 6125568.

The previous prime is 21157649. The next prime is 21157693. The reversal of 21157656 is 65675112.

It is a congruent number.

It is an unprimeable number.

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, 3310 + ... + 7298.

Almost surely, 221157656 is an apocalyptic number.

21157656 is a gapful number since it is divisible by the number (26) 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 21157656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

21157656 is an abundant number, since it is smaller than the sum of its proper divisors (39171144).

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

21157656 is a wasteful number, since it uses less digits than its factorization.

21157656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4024 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 21157656 is about 4599.7452103350. The cubic root of 21157656 is about 276.5811112695.

The spelling of 21157656 in words is "twenty-one million, one hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 3989 5304 7978 11967 15956 23934 31912 47868 51857 67813 95736 103714 135626 155571 203439 207428 271252 311142 406878 414856 542504 622284 813756 881569 1244568 1627512 1763138 2644707 3526276 5289414 7052552 10578828 21157656