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23134518 = 23311172979
BaseRepresentation
bin101100001000…
…0000100110110
31121112100121000
41120100010312
521410301033
62143504130
7400432401
oct130200466
947470530
1023134518
1112071340
1278b8046
134a40084
143102d38
15206ea13
hex1610136

23134518 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 6289920.

The previous prime is 23134513. The next prime is 23134523. The reversal of 23134518 is 81543132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23134513) and next prime (23134523).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23134491 and 23134500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292803 + ... + 292881.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 223134518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23134518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

23134518 is an abundant number, since it is smaller than the sum of its proper divisors (39073482).

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

23134518 is a wasteful number, since it uses less digits than its factorization.

23134518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 23134518 is about 4809.8355481243. The cubic root of 23134518 is about 284.9400427890.

The spelling of 23134518 in words is "twenty-three million, one hundred thirty-four thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 29 33 34 51 54 58 66 79 87 99 102 153 158 174 187 198 237 261 297 306 319 374 459 474 493 522 561 594 638 711 783 869 918 957 986 1122 1343 1422 1479 1566 1683 1738 1914 2133 2291 2607 2686 2871 2958 3366 4029 4266 4437 4582 5049 5214 5423 5742 6873 7821 8058 8613 8874 10098 10846 12087 13311 13746 14773 15642 16269 17226 20619 23463 24174 25201 26622 29546 32538 36261 38947 41238 44319 46926 48807 50402 61857 72522 75603 77894 88638 97614 116841 123714 132957 146421 151206 226809 233682 265914 292842 350523 398871 428417 453618 680427 701046 797742 856834 1051569 1285251 1360854 2103138 2570502 3855753 7711506 11567259 23134518