Search a number
-
+
85072716 = 223222310597
BaseRepresentation
bin1010001001000…
…01101101001100
312221002010211100
411010201231030
5133234311331
612235223100
72052051261
oct504415514
9187063740
1085072716
1144026433
12245a7a90
13148182b1
14b427268
157706ae6
hex5121b4c

85072716 has 36 divisors (see below), whose sum is σ = 216029632. Its totient is φ = 28227744.

The previous prime is 85072703. The next prime is 85072763. The reversal of 85072716 is 61727058.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2730 + ... + 13326.

Almost surely, 285072716 is an apocalyptic number.

It is an amenable number.

85072716 is an abundant number, since it is smaller than the sum of its proper divisors (130956916).

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

85072716 is a wasteful number, since it uses less digits than its factorization.

85072716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10825 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85072716 is about 9223.4871930306. The cubic root of 85072716 is about 439.8083118190.

The spelling of 85072716 in words is "eighty-five million, seventy-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 10597 21194 31791 42388 63582 95373 127164 190746 381492 2363131 4726262 7089393 9452524 14178786 21268179 28357572 42536358 85072716