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147310272 = 2633163523
BaseRepresentation
bin10001100011111…
…00011011000000
3101021012010201000
420301330123000
5300202412042
622341212000
73436055004
oct1061743300
9337163630
10147310272
117617542a
1241401000
1324699855
14157c8704
15cdec74c
hex8c7c6c0

147310272 has 112 divisors (see below), whose sum is σ = 436554880. Its totient is φ = 48708864.

The previous prime is 147310271. The next prime is 147310297. The reversal of 147310272 is 272013741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (147310271) 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, 281403 + ... + 281925.

Almost surely, 2147310272 is an apocalyptic number.

147310272 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 147310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218277440).

147310272 is an abundant number, since it is smaller than the sum of its proper divisors (289244608).

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

147310272 is a wasteful number, since it uses less digits than its factorization.

147310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 147310272 is about 12137.1443099273. The cubic root of 147310272 is about 528.1342633764.

The spelling of 147310272 in words is "one hundred forty-seven million, three hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 163 192 216 288 326 432 489 523 576 652 864 978 1046 1304 1467 1569 1728 1956 2092 2608 2934 3138 3912 4184 4401 4707 5216 5868 6276 7824 8368 8802 9414 10432 11736 12552 14121 15648 16736 17604 18828 23472 25104 28242 31296 33472 35208 37656 46944 50208 56484 70416 75312 85249 93888 100416 112968 140832 150624 170498 225936 255747 281664 301248 340996 451872 511494 681992 767241 903744 1022988 1363984 1534482 2045976 2301723 2727968 3068964 4091952 4603446 5455936 6137928 8183904 9206892 12275856 16367808 18413784 24551712 36827568 49103424 73655136 147310272