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13523972 = 22711192311
BaseRepresentation
bin110011100101…
…110000000100
3221110002101212
4303211300010
511430231342
61201510552
7222644330
oct63456004
927402355
1013523972
1176a7840
124642458
132a56867
141b207c0
1512c2182
hexce5c04

13523972 has 48 divisors (see below), whose sum is σ = 31073280. Its totient is φ = 4989600.

The previous prime is 13523969. The next prime is 13523989. The reversal of 13523972 is 27932531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4697 + ... + 7007.

It is an arithmetic number, because the mean of its divisors is an integer number (647360).

Almost surely, 213523972 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 13523972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536640).

13523972 is an abundant number, since it is smaller than the sum of its proper divisors (17549308).

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

13523972 is a wasteful number, since it uses less digits than its factorization.

13523972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2350 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 13523972 is about 3677.4953433009. The cubic root of 13523972 is about 238.2510121526.

The spelling of 13523972 in words is "thirteen million, five hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2311 2926 4622 5852 9244 16177 25421 32354 43909 50842 64708 87818 101684 175636 177947 307363 355894 482999 614726 711788 965998 1229452 1931996 3380993 6761986 13523972