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13919688 = 233421481
BaseRepresentation
bin110101000110…
…010111001000
3222012012020000
4311012113020
512030412223
61214203000
7226213116
oct65062710
928165200
1013919688
117948082
1247b3460
132b64a03
141bc4ab6
15134e543
hexd465c8

13919688 has 40 divisors (see below), whose sum is σ = 38989830. Its totient is φ = 4639680.

The previous prime is 13919683. The next prime is 13919699. The reversal of 13919688 is 88691931.

It can be written as a sum of positive squares in only one way, i.e., 10614564 + 3305124 = 3258^2 + 1818^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13919683) 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 9 ways as a sum of consecutive naturals, for example, 10093 + ... + 11388.

Almost surely, 213919688 is an apocalyptic number.

13919688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13919688 is an abundant number, since it is smaller than the sum of its proper divisors (25070142).

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

13919688 is a wasteful number, since it uses less digits than its factorization.

13919688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21499 (or 21486 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 13919688 is about 3730.9098086124. The cubic root of 13919688 is about 240.5524772279.

The spelling of 13919688 in words is "thirteen million, nine hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 21481 42962 64443 85924 128886 171848 193329 257772 386658 515544 579987 773316 1159974 1546632 1739961 2319948 3479922 4639896 6959844 13919688