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81462720 = 263584857
BaseRepresentation
bin1001101101100…
…00010111000000
312200021201211210
410312300113000
5131323301340
612030010120
72006264433
oct466602700
9180251753
1081462720
1141a90169
1223346940
1313b530c1
14ab6781a
157242180
hex4db05c0

81462720 has 56 divisors (see below), whose sum is σ = 258647184. Its totient is φ = 21723136.

The previous prime is 81462707. The next prime is 81462727. The reversal of 81462720 is 2726418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81462727) 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 7 ways as a sum of consecutive naturals, for example, 41469 + ... + 43388.

Almost surely, 281462720 is an apocalyptic number.

81462720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81462720 is an abundant number, since it is smaller than the sum of its proper divisors (177184464).

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

81462720 is a wasteful number, since it uses less digits than its factorization.

81462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84877 (or 84867 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 81462720 is about 9025.6700582284. The cubic root of 81462720 is about 433.4972056083.

The spelling of 81462720 in words is "eighty-one million, four hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 84857 169714 254571 339428 424285 509142 678856 848570 1018284 1272855 1357712 1697140 2036568 2545710 2715424 3394280 4073136 5091420 5430848 6788560 8146272 10182840 13577120 16292544 20365680 27154240 40731360 81462720