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81059400 = 23335217883
BaseRepresentation
bin1001101010011…
…01111001001000
312122112020121000
410311031321020
5131222400100
612013215000
72002664532
oct465157110
9178466530
1081059400
1141835144
1223191460
1313a41656
14aaa0852
1571b2900
hex4d4de48

81059400 has 192 divisors, whose sum is σ = 295963200. Its totient is φ = 20321280.

The previous prime is 81059399. The next prime is 81059413. The reversal of 81059400 is 495018.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 91359 + ... + 92241.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 281059400 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 81059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

81059400 is an abundant number, since it is smaller than the sum of its proper divisors (214903800).

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

81059400 is a wasteful number, since it uses less digits than its factorization.

81059400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 81059400 is about 9003.2993952217. The cubic root of 81059400 is about 432.7806102176.

The spelling of 81059400 in words is "eighty-one million, fifty-nine thousand, four hundred".