Search a number
-
+
130685492 = 22753831061
BaseRepresentation
bin1111100101000…
…01101000110100
3100002220111210102
413302201220310
5231423413432
620545013232
73144544160
oct762415064
9302814712
10130685492
116784aa43
1237924218
13210c87c2
14134dbca0
15b716962
hex7ca1a34

130685492 has 48 divisors (see below), whose sum is σ = 269764992. Its totient is φ = 54238080.

The previous prime is 130685483. The next prime is 130685501. The reversal of 130685492 is 294586031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130685483) and next prime (130685501).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 122642 + ... + 123702.

It is an arithmetic number, because the mean of its divisors is an integer number (5620104).

Almost surely, 2130685492 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 130685492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134882496).

130685492 is an abundant number, since it is smaller than the sum of its proper divisors (139079500).

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

130685492 is a wasteful number, since it uses less digits than its factorization.

130685492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 130685492 is about 11431.7755401337. The cubic root of 130685492 is about 507.4685423002.

The spelling of 130685492 in words is "one hundred thirty million, six hundred eighty-five thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 28 53 83 106 166 212 332 371 581 742 1061 1162 1484 2122 2324 4244 4399 7427 8798 14854 17596 29708 30793 56233 61586 88063 112466 123172 176126 224932 352252 393631 616441 787262 1232882 1574524 2465764 4667339 9334678 18669356 32671373 65342746 130685492