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13742424 = 23323147131
BaseRepresentation
bin110100011011…
…000101011000
3221212012001200
4310123011120
512004224144
61210314200
7224544243
oct64330530
927765050
1013742424
117836983
124728960
132b02117
141b7a25a
151316c69
hexd1b158

13742424 has 96 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 4305600.

The previous prime is 13742411. The next prime is 13742459. The reversal of 13742424 is 42424731.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 104839 + ... + 104969.

It is an arithmetic number, because the mean of its divisors is an integer number (411840).

Almost surely, 213742424 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 13742424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

13742424 is an abundant number, since it is smaller than the sum of its proper divisors (25794216).

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

13742424 is a wasteful number, since it uses less digits than its factorization.

13742424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 13742424 is about 3707.0775551639. The cubic root of 13742424 is about 239.5269850159.

The spelling of 13742424 in words is "thirteen million, seven hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 93 94 124 131 141 186 188 248 262 279 282 372 376 393 423 524 558 564 744 786 846 1048 1116 1128 1179 1457 1572 1692 2232 2358 2914 3144 3384 4061 4371 4716 5828 6157 8122 8742 9432 11656 12183 12314 13113 16244 17484 18471 24366 24628 26226 32488 34968 36549 36942 48732 49256 52452 55413 73098 73884 97464 104904 110826 146196 147768 190867 221652 292392 381734 443304 572601 763468 1145202 1526936 1717803 2290404 3435606 4580808 6871212 13742424