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13437072 = 24321117499
BaseRepresentation
bin110011010000…
…100010010000
3221021200012100
4303100202100
511414441242
61200000400
7222133065
oct63204220
927250170
1013437072
117648520
124600100
132a2613c
141adac6c
1512a654c
hexcd0890

13437072 has 120 divisors (see below), whose sum is σ = 43524000. Its totient is φ = 3824640.

The previous prime is 13437049. The next prime is 13437103. The reversal of 13437072 is 27073431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26679 + ... + 27177.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 213437072 is an apocalyptic number.

13437072 is a gapful number since it is divisible by the number (12) 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 13437072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

13437072 is an abundant number, since it is smaller than the sum of its proper divisors (30086928).

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

13437072 is a wasteful number, since it uses less digits than its factorization.

13437072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13437072 is about 3665.6611954735. The cubic root of 13437072 is about 237.7396111785.

The spelling of 13437072 in words is "thirteen million, four hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 499 528 561 612 748 792 816 998 1122 1224 1496 1497 1584 1683 1996 2244 2448 2992 2994 3366 3992 4488 4491 5489 5988 6732 7984 8483 8976 8982 10978 11976 13464 16467 16966 17964 21956 23952 25449 26928 32934 33932 35928 43912 49401 50898 65868 67864 71856 76347 87824 93313 98802 101796 131736 135728 152694 186626 197604 203592 263472 279939 305388 373252 395208 407184 559878 610776 746504 790416 839817 1119756 1221552 1493008 1679634 2239512 3359268 4479024 6718536 13437072