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85413860 = 2257312451
BaseRepresentation
bin1010001011101…
…00111111100100
312221201110210022
411011310333210
5133331220420
612250414312
72055002000
oct505647744
9187643708
1085413860
1144239774
1224731398
131490765c
14b4b5700
157772c25
hex5174fe4

85413860 has 48 divisors (see below), whose sum is σ = 209193600. Its totient is φ = 29282400.

The previous prime is 85413859. The next prime is 85413877. The reversal of 85413860 is 6831458.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85413860.

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, 635 + ... + 13085.

It is an arithmetic number, because the mean of its divisors is an integer number (4358200).

Almost surely, 285413860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85413860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104596800).

85413860 is an abundant number, since it is smaller than the sum of its proper divisors (123779740).

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

85413860 is a wasteful number, since it uses less digits than its factorization.

85413860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 85413860 is about 9241.9619129274. The cubic root of 85413860 is about 440.3954090193.

The spelling of 85413860 in words is "eighty-five million, four hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 12451 24902 49804 62255 87157 124510 174314 249020 348628 435785 610099 871570 1220198 1743140 2440396 3050495 4270693 6100990 8541386 12201980 17082772 21353465 42706930 85413860