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85158580 = 225131272579
BaseRepresentation
bin1010001001101…
…10101010110100
312221020111121111
411010312222310
5133300033310
612241124404
72052556513
oct504665264
9187214544
1085158580
11440849a1
1224629704
13148483c0
14b44a67a
15772228a
hex5136ab4

85158580 has 48 divisors (see below), whose sum is σ = 194181120. Its totient is φ = 31183488.

The previous prime is 85158553. The next prime is 85158583. The reversal of 85158580 is 8585158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85158583) by changing a digit.

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, 31731 + ... + 34309.

It is an arithmetic number, because the mean of its divisors is an integer number (4045440).

Almost surely, 285158580 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 85158580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97090560).

85158580 is an abundant number, since it is smaller than the sum of its proper divisors (109022540).

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

85158580 is a wasteful number, since it uses less digits than its factorization.

85158580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 40.

The square root of 85158580 is about 9228.1406577923. The cubic root of 85158580 is about 439.9562284281.

The spelling of 85158580 in words is "eighty-five million, one hundred fifty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 2579 3302 5158 6604 8255 10316 12895 16510 25790 33020 33527 51580 67054 134108 167635 327533 335270 655066 670540 1310132 1637665 3275330 4257929 6550660 8515858 17031716 21289645 42579290 85158580