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80813460 = 223571319241
BaseRepresentation
bin1001101000100…
…01110110010100
312122001202020010
410310101312110
5131142012320
612004040220
72000621520
oct464216624
9178052203
1080813460
1141687392
1223093070
1313986720
14aa38d80
157164ae0
hex4d11d94

80813460 has 288 divisors, whose sum is σ = 301093632. Its totient is φ = 15759360.

The previous prime is 80813449. The next prime is 80813543. The reversal of 80813460 is 6431808.

It is a happy number.

It is a super-3 number, since 3×808134603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1971040 + ... + 1971080.

It is an arithmetic number, because the mean of its divisors is an integer number (1045464).

Almost surely, 280813460 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 80813460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

80813460 is an abundant number, since it is smaller than the sum of its proper divisors (220280172).

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

80813460 is a wasteful number, since it uses less digits than its factorization.

80813460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 80813460 is about 8989.6306931931. The cubic root of 80813460 is about 432.3424710588.

The spelling of 80813460 in words is "eighty million, eight hundred thirteen thousand, four hundred sixty".