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81913360 = 2451815657
BaseRepresentation
bin1001110000111…
…10011000010000
312201010122000011
410320132120100
5131432211420
612043404304
72013152314
oct470363020
9181118004
1081913360
11422687a1
1223523694
1313c80259
14ac43b44
1572d095a
hex4e1e610

81913360 has 40 divisors (see below), whose sum is σ = 191534616. Its totient is φ = 32578560.

The previous prime is 81913343. The next prime is 81913379. The reversal of 81913360 is 6331918.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 76877824 = 2244^2 + 8768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 11652 + ... + 17308.

Almost surely, 281913360 is an apocalyptic number.

81913360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95767308).

81913360 is an abundant number, since it is smaller than the sum of its proper divisors (109621256).

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

81913360 is a wasteful number, since it uses less digits than its factorization.

81913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 81913360 is about 9050.5999801118. The cubic root of 81913360 is about 434.2950841370.

The spelling of 81913360 in words is "eighty-one million, nine hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 5657 7240 11314 14480 22628 28285 45256 56570 90512 113140 226280 452560 1023917 2047834 4095668 5119585 8191336 10239170 16382672 20478340 40956680 81913360