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13990464 = 2632107227
BaseRepresentation
bin110101010111…
…101001000000
3222022210022100
4311113221000
512040143324
61215510400
7226626345
oct65275100
928283270
1013990464
117996274
124828400
132b8aca7
141c027cc
1513654c9
hexd57a40

13990464 has 84 divisors (see below), whose sum is σ = 40654224. Its totient is φ = 4599552.

The previous prime is 13990451. The next prime is 13990469. The reversal of 13990464 is 46409931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13990469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 61519 + ... + 61745.

Almost surely, 213990464 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 13990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

13990464 is an abundant number, since it is smaller than the sum of its proper divisors (26663760).

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

13990464 is a wasteful number, since it uses less digits than its factorization.

13990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13990464 is about 3740.3828681032. The cubic root of 13990464 is about 240.9594922821.

The spelling of 13990464 in words is "thirteen million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 227 288 321 428 454 576 642 681 856 908 963 1284 1362 1712 1816 1926 2043 2568 2724 3424 3632 3852 4086 5136 5448 6848 7264 7704 8172 10272 10896 14528 15408 16344 20544 21792 24289 30816 32688 43584 48578 61632 65376 72867 97156 130752 145734 194312 218601 291468 388624 437202 582936 777248 874404 1165872 1554496 1748808 2331744 3497616 4663488 6995232 13990464