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86918640 = 2435362161
BaseRepresentation
bin1010010111001…
…00010111110000
320001112220221220
411023210113300
5134222344030
612342545040
72103540054
oct513442760
9201486856
1086918640
1145077296
1225138180
1315013563
14b787c64
15796da10
hex52e45f0

86918640 has 40 divisors (see below), whose sum is σ = 269448528. Its totient is φ = 23178240.

The previous prime is 86918621. The next prime is 86918653. The reversal of 86918640 is 4681968.

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

It is a junction number, because it is equal to n+sod(n) for n = 86918592 and 86918601.

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, 180841 + ... + 181320.

Almost surely, 286918640 is an apocalyptic number.

86918640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86918640 is an abundant number, since it is smaller than the sum of its proper divisors (182529888).

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

86918640 is a wasteful number, since it uses less digits than its factorization.

86918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362177 (or 362171 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86918640 is about 9323.0166791656. The cubic root of 86918640 is about 442.9665926396.

The spelling of 86918640 in words is "eighty-six million, nine hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 362161 724322 1086483 1448644 1810805 2172966 2897288 3621610 4345932 5432415 5794576 7243220 8691864 10864830 14486440 17383728 21729660 28972880 43459320 86918640