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13900464 = 2433231399
BaseRepresentation
bin110101000001…
…101010110000
3222011012212000
4311001222300
512024303324
61213534000
7226103064
oct65015260
928135760
1013900464
117934696
1247a4300
132b59036
141bbbaa4
1513489c9
hexd41ab0

13900464 has 80 divisors (see below), whose sum is σ = 41664000. Its totient is φ = 4428864.

The previous prime is 13900463. The next prime is 13900499. The reversal of 13900464 is 46400931.

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

It is not an unprimeable number, because it can be changed into a prime (13900463) 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, 9237 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 213900464 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 13900464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832000).

13900464 is an abundant number, since it is smaller than the sum of its proper divisors (27763536).

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

13900464 is a wasteful number, since it uses less digits than its factorization.

13900464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13900464 is about 3728.3326031887. The cubic root of 13900464 is about 240.4416866385.

The spelling of 13900464 in words is "thirteen million, nine hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1399 1656 2484 2798 3312 4197 4968 5596 8394 9936 11192 12591 16788 22384 25182 32177 33576 37773 50364 64354 67152 75546 96531 100728 128708 151092 193062 201456 257416 289593 302184 386124 514832 579186 604368 772248 868779 1158372 1544496 1737558 2316744 3475116 4633488 6950232 13900464