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81407520 = 2532556533
BaseRepresentation
bin1001101101000…
…10111000100000
312200011221010100
410312202320200
5131320020040
612024502400
72005644465
oct466427040
9180157110
1081407520
1141a52747
122331aa00
1313b33c3c
14ab5166c
157230b30
hex4da2e20

81407520 has 72 divisors (see below), whose sum is σ = 277808076. Its totient is φ = 21708288.

The previous prime is 81407503. The next prime is 81407527. The reversal of 81407520 is 2570418.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 11048976 = 8388^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (81407527) 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 11 ways as a sum of consecutive naturals, for example, 26827 + ... + 29706.

Almost surely, 281407520 is an apocalyptic number.

81407520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81407520 is an abundant number, since it is smaller than the sum of its proper divisors (196400556).

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

81407520 is a wasteful number, since it uses less digits than its factorization.

81407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56554 (or 56543 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 81407520 is about 9022.6115953198. The cubic root of 81407520 is about 433.3992693881.

Adding to 81407520 its reverse (2570418), we get a palindrome (83977938).

The spelling of 81407520 in words is "eighty-one million, four hundred seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 56533 113066 169599 226132 282665 339198 452264 508797 565330 678396 847995 904528 1017594 1130660 1356792 1695990 1809056 2035188 2261320 2543985 2713584 3391980 4070376 4522640 5087970 5427168 6783960 8140752 9045280 10175940 13567920 16281504 20351880 27135840 40703760 81407520