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89697040 = 2451736481
BaseRepresentation
bin1010101100010…
…10101100010000
320020210002012121
411112022230100
5140430301130
612522304024
72136261256
oct526125420
9206702177
1089697040
11466a4794
1226058014
1315777094
14bcac5d6
157d1bd7a
hex558ab10

89697040 has 40 divisors (see below), whose sum is σ = 209783448. Its totient is φ = 35665920.

The previous prime is 89697031. The next prime is 89697077. The reversal of 89697040 is 4079698.

It can be written as a sum of positive squares in 4 ways, for example, as 49956624 + 39740416 = 7068^2 + 6304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10600 + ... + 17080.

Almost surely, 289697040 is an apocalyptic number.

89697040 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 89697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104891724).

89697040 is an abundant number, since it is smaller than the sum of its proper divisors (120086408).

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

89697040 is a wasteful number, since it uses less digits than its factorization.

89697040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 89697040 is about 9470.8521263929. The cubic root of 89697040 is about 447.6370625586.

The spelling of 89697040 in words is "eighty-nine million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6481 6920 12962 13840 25924 32405 51848 64810 103696 129620 259240 518480 1121213 2242426 4484852 5606065 8969704 11212130 17939408 22424260 44848520 89697040