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13725342 = 2332343257
BaseRepresentation
bin110100010110…
…111010011110
3221211022122000
4310112322132
512003202332
61210103130
7224443401
oct64267236
927738560
1013725342
117825064
12471aaa6
132ac7407
141b73d38
151311b7c
hexd16e9e

13725342 has 64 divisors (see below), whose sum is σ = 32693760. Its totient is φ = 4257792.

The previous prime is 13725329. The next prime is 13725359. The reversal of 13725342 is 24352731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53278 + ... + 53534.

It is an arithmetic number, because the mean of its divisors is an integer number (510840).

Almost surely, 213725342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13725342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346880).

13725342 is an abundant number, since it is smaller than the sum of its proper divisors (18968418).

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

13725342 is a wasteful number, since it uses less digits than its factorization.

13725342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 13725342 is about 3704.7728675318. The cubic root of 13725342 is about 239.4276988824.

The spelling of 13725342 in words is "thirteen million, seven hundred twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 86 129 138 207 257 258 387 414 514 621 771 774 989 1161 1242 1542 1978 2313 2322 2967 4626 5911 5934 6939 8901 11051 11822 13878 17733 17802 22102 26703 33153 35466 53199 53406 66306 99459 106398 159597 198918 254173 298377 319194 508346 596754 762519 1525038 2287557 4575114 6862671 13725342