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13701376 = 281323179
BaseRepresentation
bin110100010001…
…000100000000
3221210002202101
4310101010000
512001421001
61205400144
7224313463
oct64210400
927702671
1013701376
117809057
124709054
132ab9530
141b692da
151309a01
hexd11100

13701376 has 72 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 6014976.

The previous prime is 13701341. The next prime is 13701377. The reversal of 13701376 is 67310731.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13701377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76455 + ... + 76633.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 213701376 is an apocalyptic number.

13701376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13701376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

13701376 is an abundant number, since it is smaller than the sum of its proper divisors (17203904).

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

13701376 is a wasteful number, since it uses less digits than its factorization.

13701376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 13701376 is about 3701.5369780674. The cubic root of 13701376 is about 239.2882617429.

The spelling of 13701376 in words is "thirteen million, seven hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 179 184 208 256 299 358 368 416 598 716 736 832 1196 1432 1472 1664 2327 2392 2864 2944 3328 4117 4654 4784 5728 5888 8234 9308 9568 11456 16468 18616 19136 22912 32936 37232 38272 45824 53521 65872 74464 76544 107042 131744 148928 214084 263488 297856 428168 526976 595712 856336 1053952 1712672 3425344 6850688 13701376