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85631040 = 26335111753
BaseRepresentation
bin1010001101010…
…10000001000000
312222010111201000
411012222001000
5133410143130
612255212000
72056565115
oct506520100
9188114630
1085631040
1144377960
1224817000
1314982471
14b53090c
1577b7260
hex51aa040

85631040 has 448 divisors, whose sum is σ = 355518720. Its totient is φ = 19169280.

The previous prime is 85631033. The next prime is 85631053. The reversal of 85631040 is 4013658.

It is a super-2 number, since 2×856310402 = 14665350022963200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 85630995 and 85631013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615654 + ... + 1615706.

Almost surely, 285631040 is an apocalyptic number.

85631040 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 85631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360).

85631040 is an abundant number, since it is smaller than the sum of its proper divisors (269887680).

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

85631040 is a wasteful number, since it uses less digits than its factorization.

85631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85631040 is about 9253.7041232147. The cubic root of 85631040 is about 440.7683544420.

Adding to 85631040 its reverse (4013658), we get a palindrome (89644698).

The spelling of 85631040 in words is "eighty-five million, six hundred thirty-one thousand, forty".