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88117040 = 2451129103
BaseRepresentation
bin1010100000010…
…00111100110000
320010210210212002
411100020330300
5140024221130
612424353132
72116660664
oct520107460
9203723762
1088117040
1145815700
12256157a8
1315342b7b
14b9ba8a4
157b08b45
hex5408f30

88117040 has 60 divisors (see below), whose sum is σ = 225214752. Its totient is φ = 32039040.

The previous prime is 88117039. The next prime is 88117063. The reversal of 88117040 is 4071188.

It is a super-2 number, since 2×881170402 = 15529225476723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88116994 and 88117012.

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, 5129 + ... + 14231.

Almost surely, 288117040 is an apocalyptic number.

88117040 is a gapful number since it is divisible by the number (80) 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 88117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112607376).

88117040 is an abundant number, since it is smaller than the sum of its proper divisors (137097712).

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

88117040 is a wasteful number, since it uses less digits than its factorization.

88117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 88117040 is about 9387.0676997665. The cubic root of 88117040 is about 444.9931236576.

It can be divided in two parts, 8811 and 7040, that added together give a palindrome (15851).

The spelling of 88117040 in words is "eighty-eight million, one hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9103 9680 18206 36412 45515 72824 91030 100133 145648 182060 200266 364120 400532 500665 728240 801064 1001330 1101463 1602128 2002660 2202926 4005320 4405852 5507315 8010640 8811704 11014630 17623408 22029260 44058520 88117040