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86400272 = 247771431
BaseRepresentation
bin1010010011001…
…01110100010000
320000120120220002
411021211310100
5134104302042
612323505132
72066250560
oct511456420
9200516802
1086400272
1144852892
1224b281a8
1314b9162a
14b690da0
1578ba132
hex5265d10

86400272 has 20 divisors (see below), whose sum is σ = 191315136. Its totient is φ = 37028640.

The previous prime is 86400271. The next prime is 86400299. The reversal of 86400272 is 27200468.

It is not an unprimeable number, because it can be changed into a prime (86400271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 385604 + ... + 385827.

Almost surely, 286400272 is an apocalyptic number.

It is an amenable number.

86400272 is an abundant number, since it is smaller than the sum of its proper divisors (104914864).

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

86400272 is a wasteful number, since it uses less digits than its factorization.

86400272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771446 (or 771440 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 86400272 is about 9295.1746621567. The cubic root of 86400272 is about 442.0842437514.

The spelling of 86400272 in words is "eighty-six million, four hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 771431 1542862 3085724 5400017 6171448 10800034 12342896 21600068 43200136 86400272