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85653420 = 22354333199
BaseRepresentation
bin1010001101011…
…11011110101100
312222011122101220
411012233132230
5133411402140
612255503340
72060020266
oct506573654
9188148356
1085653420
1144392756
1224827b50
131498c6c8
14b538b36
1577bdbd0
hex51af7ac

85653420 has 48 divisors (see below), whose sum is σ = 245414400. Its totient is φ = 22309056.

The previous prime is 85653419. The next prime is 85653431. The reversal of 85653420 is 2435658.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14020 + ... + 19179.

It is an arithmetic number, because the mean of its divisors is an integer number (5112800).

Almost surely, 285653420 is an apocalyptic number.

It is an amenable number.

85653420 is an abundant number, since it is smaller than the sum of its proper divisors (159760980).

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

85653420 is a wasteful number, since it uses less digits than its factorization.

85653420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33254 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 85653420 is about 9254.9132897073. The cubic root of 85653420 is about 440.8067499293.

The spelling of 85653420 in words is "eighty-five million, six hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 33199 66398 99597 132796 165995 199194 331990 398388 497985 663980 995970 1427557 1991940 2855114 4282671 5710228 7137785 8565342 14275570 17130684 21413355 28551140 42826710 85653420