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85510920 = 23351164781
BaseRepresentation
bin1010001100011…
…00101100001000
312221220101221010
411012030230020
5133342322140
612252443520
72055554655
oct506145410
9187811833
1085510920
11442a5690
12247795a0
131493c8a1
14b4dcc2c
157791880
hex518cb08

85510920 has 64 divisors (see below), whose sum is σ = 279858240. Its totient is φ = 20729600.

The previous prime is 85510913. The next prime is 85510921. The reversal of 85510920 is 2901558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (85510921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31071 + ... + 33710.

It is an arithmetic number, because the mean of its divisors is an integer number (4372785).

Almost surely, 285510920 is an apocalyptic number.

It is an amenable number.

85510920 is an abundant number, since it is smaller than the sum of its proper divisors (194347320).

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

85510920 is a wasteful number, since it uses less digits than its factorization.

85510920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64806 (or 64802 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 85510920 is about 9247.2114715735. The cubic root of 85510920 is about 440.5621602453.

The spelling of 85510920 in words is "eighty-five million, five hundred ten thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 64781 129562 194343 259124 323905 388686 518248 647810 712591 777372 971715 1295620 1425182 1554744 1943430 2137773 2591240 2850364 3562955 3886860 4275546 5700728 7125910 7773720 8551092 10688865 14251820 17102184 21377730 28503640 42755460 85510920