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85433160 = 23351741879
BaseRepresentation
bin1010001011110…
…01101101001000
312221202110021010
411011321231020
5133332330120
612251043520
72055112161
oct505715510
9187673233
1085433160
114425221a
12247405a0
1314913387
14b4bc768
1577787e0
hex5179b48

85433160 has 64 divisors (see below), whose sum is σ = 271382400. Its totient is φ = 21441536.

The previous prime is 85433137. The next prime is 85433221. The reversal of 85433160 is 6133458.

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

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 15 ways as a sum of consecutive naturals, for example, 18900 + ... + 22979.

It is an arithmetic number, because the mean of its divisors is an integer number (4240350).

Almost surely, 285433160 is an apocalyptic number.

It is an amenable number.

85433160 is an abundant number, since it is smaller than the sum of its proper divisors (185949240).

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

85433160 is a wasteful number, since it uses less digits than its factorization.

85433160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41910 (or 41906 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 85433160 is about 9243.0060045420. The cubic root of 85433160 is about 440.4285769045.

The spelling of 85433160 in words is "eighty-five million, four hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 41879 83758 125637 167516 209395 251274 335032 418790 502548 628185 711943 837580 1005096 1256370 1423886 1675160 2135829 2512740 2847772 3559715 4271658 5025480 5695544 7119430 8543316 10679145 14238860 17086632 21358290 28477720 42716580 85433160