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13062272 = 271941131
BaseRepresentation
bin110001110101…
…000010000000
3220120122001212
4301311002000
511320443042
61143545252
7216012266
oct61650200
926518055
1013062272
117411973
12445b228
132924672
141a40436
151230482
hexc75080

13062272 has 64 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 5990400.

The previous prime is 13062271. The next prime is 13062277. The reversal of 13062272 is 27226031.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13062271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99647 + ... + 99777.

Almost surely, 213062272 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 13062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

13062272 is an abundant number, since it is smaller than the sum of its proper divisors (15212128).

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

13062272 is a wasteful number, since it uses less digits than its factorization.

13062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 13062272 is about 3614.1765313830. The cubic root of 13062272 is about 235.5083127175.

The spelling of 13062272 in words is "thirteen million, sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 131 152 164 262 304 328 524 608 656 779 1048 1216 1312 1558 2096 2432 2489 2624 3116 4192 4978 5248 5371 6232 8384 9956 10742 12464 16768 19912 21484 24928 39824 42968 49856 79648 85936 99712 102049 159296 171872 204098 318592 343744 408196 687488 816392 1632784 3265568 6531136 13062272