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13523940 = 2232575133
BaseRepresentation
bin110011100101…
…101111100100
3221110002100200
4303211233210
511430231230
61201510500
7222644253
oct63455744
927402320
1013523940
1176a7811
124642430
132a56841
141b2079a
1512c2160
hexce5be4

13523940 has 36 divisors (see below), whose sum is σ = 41023164. Its totient is φ = 3606336.

The previous prime is 13523933. The next prime is 13523969. The reversal of 13523940 is 4932531.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 5503716 = 2832^2 + 2346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37387 + ... + 37746.

Almost surely, 213523940 is an apocalyptic number.

13523940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13523940 is an abundant number, since it is smaller than the sum of its proper divisors (27499224).

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

13523940 is a wasteful number, since it uses less digits than its factorization.

13523940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75148 (or 75143 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13523940 is about 3677.4909925111. The cubic root of 13523940 is about 238.2508242384.

The spelling of 13523940 in words is "thirteen million, five hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 75133 150266 225399 300532 375665 450798 676197 751330 901596 1126995 1352394 1502660 2253990 2704788 3380985 4507980 6761970 13523940