Search a number
-
+
187078056 = 233113122859
BaseRepresentation
bin10110010011010…
…01010110101000
3111001000112211220
423021221112220
5340342444211
630321422040
74431065034
oct1311512650
9431015756
10187078056
1196667570
125279a920
132c9b1799
141abbb1c4
1511655806
hexb2695a8

187078056 has 64 divisors (see below), whose sum is σ = 526694400. Its totient is φ = 54859200.

The previous prime is 187078027. The next prime is 187078061. The reversal of 187078056 is 650870781.

It is a junction number, because it is equal to n+sod(n) for n = 187077999 and 187078017.

It is an unprimeable number.

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, 3246 + ... + 19613.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2187078056 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 187078056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263347200).

187078056 is an abundant number, since it is smaller than the sum of its proper divisors (339616344).

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

187078056 is a wasteful number, since it uses less digits than its factorization.

187078056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22910 (or 22906 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 187078056 is about 13677.6480434320. The cubic root of 187078056 is about 571.9274607671.

The spelling of 187078056 in words is "one hundred eighty-seven million, seventy-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 22859 45718 68577 91436 137154 182872 251449 274308 502898 548616 708629 754347 1005796 1417258 1508694 2011592 2125887 2834516 3017388 4251774 5669032 6034776 7794919 8503548 15589838 17007096 23384757 31179676 46769514 62359352 93539028 187078056