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132254208 = 29351063
BaseRepresentation
bin1111110001000…
…00101000000000
3100012212012200000
413320200220000
5232324113313
621042400000
73164066532
oct770405000
9305765600
10132254208
11687215a9
1238360000
1321527838
14137c9852
15b926673
hex7e20a00

132254208 has 120 divisors (see below), whose sum is σ = 396203808. Its totient is φ = 44043264.

The previous prime is 132254201. The next prime is 132254249. The reversal of 132254208 is 802452231.

132254208 is a `hidden beast` number, since 13 + 225 + 420 + 8 = 666.

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 (132254201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123885 + ... + 124947.

Almost surely, 2132254208 is an apocalyptic number.

132254208 is a gapful number since it is divisible by the number (18) 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 132254208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198101904).

132254208 is an abundant number, since it is smaller than the sum of its proper divisors (263949600).

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

132254208 is an frugal number, since it uses more digits than its factorization.

132254208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132254208 is about 11500.1829550664. The cubic root of 132254208 is about 509.4909800164.

The spelling of 132254208 in words is "one hundred thirty-two million, two hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1063 1152 1296 1536 1728 1944 2126 2304 2592 3189 3456 3888 4252 4608 5184 6378 6912 7776 8504 9567 10368 12756 13824 15552 17008 19134 20736 25512 28701 31104 34016 38268 41472 51024 57402 62208 68032 76536 86103 102048 114804 124416 136064 153072 172206 204096 229608 258309 272128 306144 344412 408192 459216 516618 544256 612288 688824 816384 918432 1033236 1224576 1377648 1632768 1836864 2066472 2449152 2755296 3673728 4132944 4898304 5510592 7347456 8265888 11021184 14694912 16531776 22042368 33063552 44084736 66127104 132254208