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23147136 = 273271283
BaseRepresentation
bin101100001001…
…1001010000000
31121112222220100
41120103022000
521411202021
62144042400
7400514235
oct130231200
947488810
1023147136
111207a871
127903400
134a45a3c
14310778c
152073626
hex1613280

23147136 has 96 divisors (see below), whose sum is σ = 67785120. Its totient is φ = 7580160.

The previous prime is 23147129. The next prime is 23147143. The reversal of 23147136 is 63174132.

It is an interprime number because it is at equal distance from previous prime (23147129) and next prime (23147143).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81651 + ... + 81933.

It is an arithmetic number, because the mean of its divisors is an integer number (706095).

Almost surely, 223147136 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 23147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892560).

23147136 is an abundant number, since it is smaller than the sum of its proper divisors (44637984).

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

23147136 is a wasteful number, since it uses less digits than its factorization.

23147136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 23147136 is about 4811.1470565760. The cubic root of 23147136 is about 284.9918372547.

The spelling of 23147136 in words is "twenty-three million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 283 284 288 384 426 566 568 576 639 849 852 1132 1136 1152 1278 1698 1704 2264 2272 2547 2556 3396 3408 4528 4544 5094 5112 6792 6816 9056 9088 10188 10224 13584 13632 18112 20093 20376 20448 27168 27264 36224 40186 40752 40896 54336 60279 80372 81504 81792 108672 120558 160744 163008 180837 241116 321488 326016 361674 482232 642976 723348 964464 1285952 1446696 1928928 2571904 2893392 3857856 5786784 7715712 11573568 23147136