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85669560 = 23325237971
BaseRepresentation
bin1010001101100…
…11011010111000
312222012110112200
411012303122320
5133412411220
612300110200
72060115324
oct506633270
9188173480
1085669560
11443a3899
1224835360
1314996b62
14b540984
1577c3890
hex51b36b8

85669560 has 48 divisors (see below), whose sum is σ = 278427240. Its totient is φ = 22845120.

The previous prime is 85669553. The next prime is 85669583. The reversal of 85669560 is 6596658.

85669560 is a `hidden beast` number, since 85 + 6 + 6 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118626 + ... + 119345.

Almost surely, 285669560 is an apocalyptic number.

It is an amenable number.

85669560 is an abundant number, since it is smaller than the sum of its proper divisors (192757680).

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

85669560 is a wasteful number, since it uses less digits than its factorization.

85669560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237988 (or 237981 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 85669560 is about 9255.7852179056. The cubic root of 85669560 is about 440.8344358217.

The spelling of 85669560 in words is "eighty-five million, six hundred sixty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 237971 475942 713913 951884 1189855 1427826 1903768 2141739 2379710 2855652 3569565 4283478 4759420 5711304 7139130 8566956 9518840 10708695 14278260 17133912 21417390 28556520 42834780 85669560