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81287460 = 223253071471
BaseRepresentation
bin1001101100001…
…01100100100100
312122221211102200
410312011210210
5131302144320
612022134500
72004634452
oct466054444
9178854380
1081287460
1141980521
1223281430
1313ac13b7
14ab1d9d2
15720a290
hex4d85924

81287460 has 72 divisors (see below), whose sum is σ = 247543296. Its totient is φ = 21591360.

The previous prime is 81287447. The next prime is 81287467. The reversal of 81287460 is 6478218.

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

It is not an unprimeable number, because it can be changed into a prime (81287467) 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 23 ways as a sum of consecutive naturals, for example, 54525 + ... + 55995.

Almost surely, 281287460 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 81287460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123771648).

81287460 is an abundant number, since it is smaller than the sum of its proper divisors (166255836).

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

81287460 is a wasteful number, since it uses less digits than its factorization.

81287460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81287460 is about 9015.9558561475. The cubic root of 81287460 is about 433.1861051449.

The spelling of 81287460 in words is "eighty-one million, two hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1471 1535 1842 2763 2942 3070 3684 4413 4605 5526 5884 6140 7355 8826 9210 11052 13239 13815 14710 17652 18420 22065 26478 27630 29420 44130 52956 55260 66195 88260 132390 264780 451597 903194 1354791 1806388 2257985 2709582 4064373 4515970 5419164 6773955 8128746 9031940 13547910 16257492 20321865 27095820 40643730 81287460