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13522960 = 245113127
BaseRepresentation
bin110011100101…
…100000010000
3221110001000101
4303211200100
511430213320
61201502144
7222641353
oct63454020
927401011
1013522960
1176a7000
124641954
132a56269
141b2029a
1512c1c0a
hexce5810

13522960 has 80 divisors (see below), whose sum is σ = 34854912. Its totient is φ = 4878720.

The previous prime is 13522921. The next prime is 13522963. The reversal of 13522960 is 6922531.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13522963) 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, 106417 + ... + 106543.

Almost surely, 213522960 is an apocalyptic number.

13522960 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 13522960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427456).

13522960 is an abundant number, since it is smaller than the sum of its proper divisors (21331952).

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

13522960 is a wasteful number, since it uses less digits than its factorization.

13522960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 13522960 is about 3677.3577470787. The cubic root of 13522960 is about 238.2450692230.

The spelling of 13522960 in words is "thirteen million, five hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 127 176 220 242 254 440 484 508 605 635 880 968 1016 1210 1270 1331 1397 1936 2032 2420 2540 2662 2794 4840 5080 5324 5588 6655 6985 9680 10160 10648 11176 13310 13970 15367 21296 22352 26620 27940 30734 53240 55880 61468 76835 106480 111760 122936 153670 169037 245872 307340 338074 614680 676148 845185 1229360 1352296 1690370 2704592 3380740 6761480 13522960