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85232040 = 23356710601
BaseRepresentation
bin1010001010010…
…00100110101000
312221101020101020
411011020212220
5133304411130
612242452440
72053313625
oct505104650
9187336336
1085232040
1144125103
1224664120
131487297a
14b46934c
157738e10
hex51489a8

85232040 has 64 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 22387200.

The previous prime is 85232039. The next prime is 85232047. The reversal of 85232040 is 4023258.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85232040.

It is not an unprimeable number, because it can be changed into a prime (85232047) 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, 2740 + ... + 13340.

It is an arithmetic number, because the mean of its divisors is an integer number (4055265).

Almost surely, 285232040 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 85232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

85232040 is an abundant number, since it is smaller than the sum of its proper divisors (174304920).

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

85232040 is a wasteful number, since it uses less digits than its factorization.

85232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 85232040 is about 9232.1200165509. The cubic root of 85232040 is about 440.0826979546.

Adding to 85232040 its reverse (4023258), we get a palindrome (89255298).

The spelling of 85232040 in words is "eighty-five million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 10601 21202 31803 42404 53005 63606 84808 106010 127212 159015 212020 254424 318030 424040 636060 710267 1272120 1420534 2130801 2841068 3551335 4261602 5682136 7102670 8523204 10654005 14205340 17046408 21308010 28410680 42616020 85232040