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132604128 = 253517053
BaseRepresentation
bin1111110011101…
…10000011100000
3100020111222200000
413321312003200
5232421313003
621054100000
73200054646
oct771660340
9306458600
10132604128
1168940498
12384aa600
132161aba7
141387b196
15b9951a3
hex7e760e0

132604128 has 72 divisors (see below), whose sum is σ = 391082328. Its totient is φ = 44198784.

The previous prime is 132604117. The next prime is 132604139. The reversal of 132604128 is 821406231.

132604128 is a `hidden beast` number, since 1 + 32 + 604 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (132604117) and next prime (132604139).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 751 + ... + 16302.

It is an arithmetic number, because the mean of its divisors is an integer number (5431699).

Almost surely, 2132604128 is an apocalyptic number.

132604128 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 132604128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195541164).

132604128 is an abundant number, since it is smaller than the sum of its proper divisors (258478200).

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

132604128 is an equidigital number, since it uses as much as digits as its factorization.

132604128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17078 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132604128 is about 11515.3865762292. The cubic root of 132604128 is about 509.9399237193.

The spelling of 132604128 in words is "one hundred thirty-two million, six hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 17053 34106 51159 68212 102318 136424 153477 204636 272848 306954 409272 460431 545696 613908 818544 920862 1227816 1381293 1637088 1841724 2455632 2762586 3683448 4143879 4911264 5525172 7366896 8287758 11050344 14733792 16575516 22100688 33151032 44201376 66302064 132604128