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13891360 = 255779157
BaseRepresentation
bin110100111111…
…011100100000
3222010202100211
4310333130200
512024010420
61213423504
7226034410
oct64773440
928122324
1013891360
11792886a
12479ab94
132b54b52
141bb8640
151345e5a
hexd3f720

13891360 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 4672512.

The previous prime is 13891357. The next prime is 13891399. The reversal of 13891360 is 6319831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88402 + ... + 88558.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 213891360 is an apocalyptic number.

13891360 is a gapful number since it is divisible by the number (10) 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 13891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

13891360 is an abundant number, since it is smaller than the sum of its proper divisors (24332000).

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

13891360 is a wasteful number, since it uses less digits than its factorization.

13891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 13891360 is about 3727.1114820998. Note that the first 3 decimals coincide. The cubic root of 13891360 is about 240.3891833749.

The spelling of 13891360 in words is "thirteen million, eight hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 157 158 160 224 280 314 316 395 553 560 628 632 785 790 1099 1106 1120 1256 1264 1570 1580 2198 2212 2512 2528 2765 3140 3160 4396 4424 5024 5495 5530 6280 6320 8792 8848 10990 11060 12403 12560 12640 17584 17696 21980 22120 24806 25120 35168 43960 44240 49612 62015 86821 87920 88480 99224 124030 173642 175840 198448 248060 347284 396896 434105 496120 694568 868210 992240 1389136 1736420 1984480 2778272 3472840 6945680 13891360