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15138942 = 23721317233
BaseRepresentation
bin111001110000…
…000001111110
31001111010201120
4321300001332
512333421232
61300251410
7242451600
oct71600176
931433646
1015138942
118600125
1250a0b66
1331a0970
142021170
1514e092c
hexe7007e

15138942 has 96 divisors (see below), whose sum is σ = 40334112. Its totient is φ = 3741696.

The previous prime is 15138941. The next prime is 15138971. The reversal of 15138942 is 24983151.

15138942 is nontrivially palindromic in base 16.

15138942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15138941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64858 + ... + 65090.

It is an arithmetic number, because the mean of its divisors is an integer number (420147).

Almost surely, 215138942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15138942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

15138942 is an abundant number, since it is smaller than the sum of its proper divisors (25195170).

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

15138942 is a wasteful number, since it uses less digits than its factorization.

15138942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 15138942 is about 3890.8793350604. The cubic root of 15138942 is about 247.3803359902.

It can be divided in two parts, 151 and 38942, that added together give a palindrome (39093).

The spelling of 15138942 in words is "fifteen million, one hundred thirty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 119 147 182 221 233 238 273 294 357 442 466 546 637 663 699 714 833 1274 1326 1398 1547 1631 1666 1911 2499 3029 3094 3262 3822 3961 4641 4893 4998 6058 7922 9087 9282 9786 10829 11417 11883 18174 21203 21658 22834 23766 27727 32487 34251 42406 51493 55454 63609 64974 68502 83181 102986 127218 148421 154479 166362 194089 296842 308958 360451 388178 445263 582267 720902 890526 1081353 1164534 2162706 2523157 5046314 7569471 15138942