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13900096 = 267192371
BaseRepresentation
bin110101000001…
…100101000000
3222011012100101
4311001211000
512024300341
61213532144
7226102030
oct65014500
928135311
1013900096
117934391
1247a4054
132b58b12
141bbb8c0
151348831
hexd41940

13900096 has 112 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 5322240.

The previous prime is 13900079. The next prime is 13900097. The reversal of 13900096 is 69000931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195741 + ... + 195811.

Almost surely, 213900096 is an apocalyptic number.

13900096 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 13900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

13900096 is an abundant number, since it is smaller than the sum of its proper divisors (21212864).

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

13900096 is a wasteful number, since it uses less digits than its factorization.

13900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 13900096 is about 3728.2832510420. The cubic root of 13900096 is about 240.4395648071.

The spelling of 13900096 in words is "thirteen million, nine hundred thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 64 71 76 92 112 133 142 152 161 184 224 266 284 304 322 368 437 448 497 532 568 608 644 736 874 994 1064 1136 1216 1288 1349 1472 1633 1748 1988 2128 2272 2576 2698 3059 3266 3496 3976 4256 4544 5152 5396 6118 6532 6992 7952 8512 9443 10304 10792 11431 12236 13064 13984 15904 18886 21584 22862 24472 26128 27968 31027 31808 37772 43168 45724 48944 52256 62054 75544 86336 91448 97888 104512 124108 151088 182896 195776 217189 248216 302176 365792 434378 496432 604352 731584 868756 992864 1737512 1985728 3475024 6950048 13900096