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88740132 = 223134313229
BaseRepresentation
bin1010100101000…
…01000100100100
320011222110120120
411102201010210
5140204141012
612450001540
72125164405
oct522410444
9204873516
1088740132
1146100858
12258762b0
1315500670
14badd9ac
157bcd58c
hex54a1124

88740132 has 48 divisors (see below), whose sum is σ = 228191040. Its totient is φ = 26667648.

The previous prime is 88740121. The next prime is 88740139. The reversal of 88740132 is 23104788.

88740132 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×887401322 = 15749622054754848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

88740132 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 88740093 and 88740102.

It is not an unprimeable number, because it can be changed into a prime (88740139) 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, 94 + ... + 13322.

It is an arithmetic number, because the mean of its divisors is an integer number (4753980).

Almost surely, 288740132 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 88740132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114095520).

88740132 is an abundant number, since it is smaller than the sum of its proper divisors (139450908).

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

88740132 is a wasteful number, since it uses less digits than its factorization.

88740132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292 (or 13290 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 88740132 is about 9420.1980870893. The cubic root of 88740132 is about 446.0395374737.

The spelling of 88740132 in words is "eighty-eight million, seven hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 13229 26458 39687 52916 79374 158748 171977 343954 515931 568847 687908 1031862 1137694 1706541 2063724 2275388 3413082 6826164 7395011 14790022 22185033 29580044 44370066 88740132