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185630140 = 225174312697
BaseRepresentation
bin10110001000001…
…11110110111100
3110221021222200101
423010013312330
5340010131030
630230410444
74412554513
oct1304076674
9427258611
10185630140
1195868743
1252200a24
132c5c5727
141a92167a
151146b7ca
hexb107dbc

185630140 has 48 divisors (see below), whose sum is σ = 422386272. Its totient is φ = 68253696.

The previous prime is 185630113. The next prime is 185630143. The reversal of 185630140 is 41036581.

It is a junction number, because it is equal to n+sod(n) for n = 185630099 and 185630108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185630143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8272 + ... + 20968.

It is an arithmetic number, because the mean of its divisors is an integer number (8799714).

Almost surely, 2185630140 is an apocalyptic number.

185630140 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 185630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211193136).

185630140 is an abundant number, since it is smaller than the sum of its proper divisors (236756132).

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

185630140 is a wasteful number, since it uses less digits than its factorization.

185630140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12764 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 185630140 is about 13624.6152239247. The cubic root of 185630140 is about 570.4481342981.

The spelling of 185630140 in words is "one hundred eighty-five million, six hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 7310 12697 14620 25394 50788 63485 126970 215849 253940 431698 545971 863396 1079245 1091942 2158490 2183884 2729855 4316980 5459710 9281507 10919420 18563014 37126028 46407535 92815070 185630140