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13977392 = 24111341149
BaseRepresentation
bin110101010100…
…011100110000
3222022010101012
4311110130300
512034234032
61215330052
7226543262
oct65243460
928263335
1013977392
117987470
124820928
132b85060
141bdbb32
1513616b2
hexd54730

13977392 has 80 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 5683200.

The previous prime is 13977371. The next prime is 13977401. The reversal of 13977392 is 29377931.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 93734 + ... + 93882.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 213977392 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 13977392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

13977392 is an abundant number, since it is smaller than the sum of its proper divisors (18833008).

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

13977392 is a wasteful number, since it uses less digits than its factorization.

13977392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 71442, while the sum is 41.

The square root of 13977392 is about 3738.6350450398. The cubic root of 13977392 is about 240.8844220055.

The spelling of 13977392 in words is "thirteen million, nine hundred seventy-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 149 164 176 208 286 298 328 451 533 572 596 656 902 1066 1144 1192 1639 1804 1937 2132 2288 2384 3278 3608 3874 4264 5863 6109 6556 7216 7748 8528 11726 12218 13112 15496 21307 23452 24436 26224 30992 42614 46904 48872 67199 79417 85228 93808 97744 134398 158834 170456 268796 317668 340912 537592 635336 873587 1075184 1270672 1747174 3494348 6988696 13977392