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81420096 = 2634110343
BaseRepresentation
bin1001101101001…
…01111101000000
312200012120101010
410312211331000
5131320420341
612025040520
72006026242
oct466457500
9180176333
1081420096
1141a6113a
1223326140
1313b39894
14ab56092
157234716
hex4da5f40

81420096 has 56 divisors (see below), whose sum is σ = 220699584. Its totient is φ = 26475520.

The previous prime is 81420083. The next prime is 81420127. The reversal of 81420096 is 69002418.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 13043.

It is an arithmetic number, because the mean of its divisors is an integer number (3941064).

Almost surely, 281420096 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 81420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110349792).

81420096 is an abundant number, since it is smaller than the sum of its proper divisors (139279488).

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

81420096 is a wasteful number, since it uses less digits than its factorization.

81420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 81420096 is about 9023.3084841426. The cubic root of 81420096 is about 433.4215857071.

It can be divided in two parts, 814 and 20096, that added together give a triangular number (20910 = T204).

The spelling of 81420096 in words is "eighty-one million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 10343 20686 31029 41372 62058 82744 124116 165488 248232 330976 424063 496464 661952 848126 992928 1272189 1696252 1985856 2544378 3392504 5088756 6785008 10177512 13570016 20355024 27140032 40710048 81420096