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85199610 = 2351927867
BaseRepresentation
bin1010001010000…
…00101011111010
312221022120220010
411011000223322
5133302341420
612242042350
72053120236
oct505005372
9187276803
1085199610
1144102801
12246493b6
1314860c92
14b45b5c6
15772e4e0
hex5140afa

85199610 has 48 divisors (see below), whose sum is σ = 215834976. Its totient is φ = 21521376.

The previous prime is 85199581. The next prime is 85199623. The reversal of 85199610 is 1699158.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6897 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (4496562).

Almost surely, 285199610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85199610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107917488).

85199610 is an abundant number, since it is smaller than the sum of its proper divisors (130635366).

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

85199610 is a wasteful number, since it uses less digits than its factorization.

85199610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7915 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 85199610 is about 9230.3634814670. The cubic root of 85199610 is about 440.0268750802.

The spelling of 85199610 in words is "eighty-five million, one hundred ninety-nine thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 5415 7867 10830 15734 23601 39335 47202 78670 118005 149473 236010 298946 448419 747365 896838 1494730 2242095 2839987 4484190 5679974 8519961 14199935 17039922 28399870 42599805 85199610