Search a number
-
+
85106574 = 2327675449
BaseRepresentation
bin1010001001010…
…01111110001110
312221010212021100
411010221332032
5133241402244
612240043530
72052252060
oct504517616
9187125240
1085106574
1144049913
12246035a6
131482a827
14b435730
157711b69
hex5129f8e

85106574 has 24 divisors (see below), whose sum is σ = 210740400. Its totient is φ = 24316128.

The previous prime is 85106557. The next prime is 85106579. The reversal of 85106574 is 47560158.

85106574 is a `hidden beast` number, since 85 + 1 + 0 + 6 + 574 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85106579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337599 + ... + 337850.

It is an arithmetic number, because the mean of its divisors is an integer number (8780850).

Almost surely, 285106574 is an apocalyptic number.

85106574 is an abundant number, since it is smaller than the sum of its proper divisors (125633826).

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

85106574 is a wasteful number, since it uses less digits than its factorization.

85106574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675464 (or 675461 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85106574 is about 9225.3224333895. The cubic root of 85106574 is about 439.8666503615.

The spelling of 85106574 in words is "eighty-five million, one hundred six thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 675449 1350898 2026347 4052694 4728143 6079041 9456286 12158082 14184429 28368858 42553287 85106574