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85997000 = 2353233739
BaseRepresentation
bin1010010000000…
…11010111001000
312222211002201002
411020003113020
5134003401000
612311114132
72062651055
oct510032710
9188732632
1085997000
11445a7901
1224972948
1314a7cbcb
14b5c802c
15783a8d5
hex52035c8

85997000 has 64 divisors (see below), whose sum is σ = 210038400. Its totient is φ = 32894400.

The previous prime is 85996997. The next prime is 85997003. The reversal of 85997000 is 79958.

It is an interprime number because it is at equal distance from previous prime (85996997) and next prime (85997003).

It is not an unprimeable number, because it can be changed into a prime (85997003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21131 + ... + 24869.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 285997000 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 85997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

85997000 is an abundant number, since it is smaller than the sum of its proper divisors (124041400).

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

85997000 is a wasteful number, since it uses less digits than its factorization.

85997000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 85997000 is about 9273.4567449253. The cubic root of 85997000 is about 441.3953636206.

The spelling of 85997000 in words is "eighty-five million, nine hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 3739 4600 5750 7478 11500 14956 18695 23000 29912 37390 74780 85997 93475 149560 171994 186950 343988 373900 429985 467375 687976 747800 859970 934750 1719940 1869500 2149925 3439880 3739000 4299850 8599700 10749625 17199400 21499250 42998500 85997000