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96872040 = 23325269089
BaseRepresentation
bin1011100011000…
…10011001101000
320202021121110100
411301202121220
5144244401130
613340145400
72254253526
oct561423150
9222247410
1096872040
114a755441
1228538260
13170b9b45
14cc19316
158787c60
hex5c62668

96872040 has 48 divisors (see below), whose sum is σ = 314835300. Its totient is φ = 25832448.

The previous prime is 96872033. The next prime is 96872047. The reversal of 96872040 is 4027869.

It is an interprime number because it is at equal distance from previous prime (96872033) and next prime (96872047).

It can be written as a sum of positive squares in 2 ways, for example, as 95531076 + 1340964 = 9774^2 + 1158^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 96871986 and 96872004.

It is not an unprimeable number, because it can be changed into a prime (96872047) 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, 134185 + ... + 134904.

Almost surely, 296872040 is an apocalyptic number.

96872040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96872040 is an abundant number, since it is smaller than the sum of its proper divisors (217963260).

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

96872040 is a wasteful number, since it uses less digits than its factorization.

96872040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269106 (or 269099 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96872040 is about 9842.3594732158. The cubic root of 96872040 is about 459.2679597888.

The spelling of 96872040 in words is "ninety-six million, eight hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 269089 538178 807267 1076356 1345445 1614534 2152712 2421801 2690890 3229068 4036335 4843602 5381780 6458136 8072670 9687204 10763560 12109005 16145340 19374408 24218010 32290680 48436020 96872040