Search a number
-
+
185630940 = 22345112947
BaseRepresentation
bin10110001000010…
…00000011011100
3110221022000210000
423010020003130
5340010142230
630230414300
74412560035
oct1304100334
9427260700
10185630940
1195869300
1252201390
132c5c5bc1
141a921a8c
151146bb60
hexb1080dc

185630940 has 180 divisors, whose sum is σ = 640758888. Its totient is φ = 44953920.

The previous prime is 185630917. The next prime is 185630959. The reversal of 185630940 is 49036581.

185630940 is a `hidden beast` number, since 1 + 8 + 563 + 0 + 94 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 185630895 and 185630904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195547 + ... + 196493.

Almost surely, 2185630940 is an apocalyptic number.

185630940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185630940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320379444).

185630940 is an abundant number, since it is smaller than the sum of its proper divisors (455127948).

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

185630940 is a wasteful number, since it uses less digits than its factorization.

185630940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 185630940 is about 13624.6445825203. The cubic root of 185630940 is about 570.4489537732.

The spelling of 185630940 in words is "one hundred eighty-five million, six hundred thirty thousand, nine hundred forty".