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13522640 = 245433931
BaseRepresentation
bin110011100101…
…011011010000
3221110000120112
4303211123100
511430211030
61201500452
7222640415
oct63453320
927400515
1013522640
1176a683a
124641728
132a56081
141b2010c
1512c1a95
hexce56d0

13522640 has 40 divisors (see below), whose sum is σ = 32179488. Its totient is φ = 5281920.

The previous prime is 13522637. The next prime is 13522651. The reversal of 13522640 is 4622531.

13522640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1475 + ... + 5405.

Almost surely, 213522640 is an apocalyptic number.

13522640 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 13522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089744).

13522640 is an abundant number, since it is smaller than the sum of its proper divisors (18656848).

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

13522640 is a wasteful number, since it uses less digits than its factorization.

13522640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 13522640 is about 3677.3142373205. The cubic root of 13522640 is about 238.2431899741.

The spelling of 13522640 in words is "thirteen million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3931 7862 15724 19655 31448 39310 62896 78620 157240 169033 314480 338066 676132 845165 1352264 1690330 2704528 3380660 6761320 13522640