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23009688 = 23321323161
BaseRepresentation
bin101011111000…
…1100110011000
31121022000100200
41113301212120
521342302223
62141102200
7366402432
oct127614630
947260320
1023009688
1111a96579
127857960
1349c8300
1430ad652
152047a43
hex15f1998

23009688 has 144 divisors (see below), whose sum is σ = 70799040. Its totient is φ = 6739200.

The previous prime is 23009669. The next prime is 23009699. The reversal of 23009688 is 88690032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377178 + ... + 377238.

It is an arithmetic number, because the mean of its divisors is an integer number (491660).

Almost surely, 223009688 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 23009688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35399520).

23009688 is an abundant number, since it is smaller than the sum of its proper divisors (47789352).

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

23009688 is a wasteful number, since it uses less digits than its factorization.

23009688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 23009688 is about 4796.8414607948. The cubic root of 23009688 is about 284.4266219211.

The spelling of 23009688 in words is "twenty-three million, nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 61 62 72 78 93 104 117 122 124 156 169 183 186 234 244 248 279 312 338 366 372 403 468 488 507 549 558 676 732 744 793 806 936 1014 1098 1116 1209 1352 1464 1521 1586 1612 1891 2028 2196 2232 2379 2418 3042 3172 3224 3627 3782 4056 4392 4758 4836 5239 5673 6084 6344 7137 7254 7564 9516 9672 10309 10478 11346 12168 14274 14508 15128 15717 17019 19032 20618 20956 22692 24583 28548 29016 30927 31434 34038 41236 41912 45384 47151 49166 57096 61854 62868 68076 73749 82472 92781 94302 98332 123708 125736 136152 147498 185562 188604 196664 221247 247416 294996 319579 371124 377208 442494 589992 639158 742248 884988 958737 1278316 1769976 1917474 2556632 2876211 3834948 5752422 7669896 11504844 23009688