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130394292 = 223721032153
BaseRepresentation
bin1111100010110…
…10100010110100
3100002100201100020
413301122202310
5231340104132
620534445140
73142222200
oct761324264
9302321306
10130394292
1167671186
12378037b0
13210260b2
1413463b00
15b6aa52c
hex7c5a8b4

130394292 has 72 divisors (see below), whose sum is σ = 357529536. Its totient is φ = 36876672.

The previous prime is 130394273. The next prime is 130394293. The reversal of 130394292 is 292493031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130394293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59488 + ... + 61640.

It is an arithmetic number, because the mean of its divisors is an integer number (4965688).

Almost surely, 2130394292 is an apocalyptic number.

130394292 is a gapful number since it is divisible by the number (12) 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 130394292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178764768).

130394292 is an abundant number, since it is smaller than the sum of its proper divisors (227135244).

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

130394292 is a wasteful number, since it uses less digits than its factorization.

130394292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 130394292 is about 11419.0320080119. The cubic root of 130394292 is about 507.0913396663.

The spelling of 130394292 in words is "one hundred thirty million, three hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 412 588 618 721 1236 1442 2153 2163 2884 4306 4326 5047 6459 8612 8652 10094 12918 15071 15141 20188 25836 30142 30282 45213 60284 60564 90426 105497 180852 210994 221759 316491 421988 443518 632982 665277 887036 1265964 1330554 1552313 2661108 3104626 4656939 6209252 9313878 10866191 18627756 21732382 32598573 43464764 65197146 130394292