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86723460 = 22345174767
BaseRepresentation
bin1010010101101…
…00101110000100
320001012000020000
411022310232010
5134200122320
612334441300
72102065035
oct512645604
9201160200
1086723460
1144a5368a
1225063230
1314c75775
14b736a8c
157930c90
hex52b4b84

86723460 has 240 divisors, whose sum is σ = 298577664. Its totient is φ = 20984832.

The previous prime is 86723411. The next prime is 86723471. The reversal of 86723460 is 6432768.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1294347 + ... + 1294413.

Almost surely, 286723460 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 86723460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

86723460 is an abundant number, since it is smaller than the sum of its proper divisors (211854204).

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

86723460 is a wasteful number, since it uses less digits than its factorization.

86723460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 86723460 is about 9312.5431542624. The cubic root of 86723460 is about 442.6347765268.

The spelling of 86723460 in words is "eighty-six million, seven hundred twenty-three thousand, four hundred sixty".