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23386896 = 2432132312
BaseRepresentation
bin101100100110…
…1101100010000
31122000011210100
41121031230100
521441340041
62153132400
7402533241
oct131155420
948004710
1023386896
1112223a15
1279ba100
134acac00
14316acc8
1520be6b6
hex164db10

23386896 has 135 divisors (see below), whose sum is σ = 73232757. Its totient is φ = 6963840.

The previous prime is 23386879. The next prime is 23386901. The reversal of 23386896 is 69868332.

The square root of 23386896 is 4836.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 19927296 = 1860^2 + 4464^2 .

It is a nude number because it is divisible by every one of its digits.

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 26 ways as a sum of consecutive naturals, for example, 754401 + ... + 754431.

Almost surely, 223386896 is an apocalyptic number.

23386896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23386896 is the 4836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23386896

23386896 is an abundant number, since it is smaller than the sum of its proper divisors (49845861).

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

23386896 is a wasteful number, since it uses less digits than its factorization.

23386896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The cubic root of 23386896 is about 285.9724491367.

The spelling of 23386896 in words is "twenty-three million, three hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 169 186 208 234 248 279 312 338 372 403 468 496 507 558 624 676 744 806 936 961 1014 1116 1209 1352 1488 1521 1612 1872 1922 2028 2232 2418 2704 2883 3042 3224 3627 3844 4056 4464 4836 5239 5766 6084 6448 7254 7688 8112 8649 9672 10478 11532 12168 12493 14508 15376 15717 17298 19344 20956 23064 24336 24986 29016 31434 34596 37479 41912 46128 47151 49972 58032 62868 69192 74958 83824 94302 99944 112437 125736 138384 149916 162409 188604 199888 224874 251472 299832 324818 377208 449748 487227 599664 649636 754416 899496 974454 1299272 1461681 1798992 1948908 2598544 2923362 3897816 5846724 7795632 11693448 23386896