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147661056 = 28347121
BaseRepresentation
bin10001100110100…
…10000100000000
3101021211221220000
420303102010000
5300300123211
622352520000
73442045464
oct1063220400
9337757800
10147661056
1176394a34
1241550000
132479040a
141587a4a4
15ce6b656
hex8cd2100

147661056 has 90 divisors (see below), whose sum is σ = 440360382. Its totient is φ = 49213440.

The previous prime is 147661051. The next prime is 147661079. The reversal of 147661056 is 650166741.

147661056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 62726400 = 9216^2 + 7920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 147661056.

It is not an unprimeable number, because it can be changed into a prime (147661051) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17176 + ... + 24296.

Almost surely, 2147661056 is an apocalyptic number.

147661056 is a gapful number since it is divisible by the number (16) 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 147661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220180191).

147661056 is an abundant number, since it is smaller than the sum of its proper divisors (292699326).

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

147661056 is an frugal number, since it uses more digits than its factorization.

147661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 147661056 is about 12151.5865630789. The cubic root of 147661056 is about 528.5531393303.

The spelling of 147661056 in words is "one hundred forty-seven million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 7121 10368 14242 20736 21363 28484 42726 56968 64089 85452 113936 128178 170904 192267 227872 256356 341808 384534 455744 512712 576801 683616 769068 911488 1025424 1153602 1367232 1538136 1822976 2050848 2307204 2734464 3076272 4101696 4614408 5468928 6152544 8203392 9228816 12305088 16406784 18457632 24610176 36915264 49220352 73830528 147661056