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130824092 = 22723316553
BaseRepresentation
bin1111100110000…
…11011110011100
3100010011112220202
413303003132130
5231442332332
620552003032
73145662230
oct763033634
9303145822
10130824092
1167935093
1237990478
1321146909
14135365c0
15b742a62
hex7cc379c

130824092 has 48 divisors (see below), whose sum is σ = 281874432. Its totient is φ = 51891840.

The previous prime is 130824091. The next prime is 130824107. The reversal of 130824092 is 290428031.

It is a super-2 number, since 2×1308240922 = 34229886095248928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130824091) 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, 16688 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (5872384).

Almost surely, 2130824092 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 130824092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140937216).

130824092 is an abundant number, since it is smaller than the sum of its proper divisors (151050340).

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

130824092 is a wasteful number, since it uses less digits than its factorization.

130824092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 130824092 is about 11437.8359841362. The cubic root of 130824092 is about 507.6478794467.

The spelling of 130824092 in words is "one hundred thirty million, eight hundred twenty-four thousand, ninety-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2852 4991 6553 9982 13106 19964 26212 45871 91742 150719 183484 203143 301438 406286 602876 812572 1055033 1422001 2110066 2844002 4220132 4672289 5688004 9344578 18689156 32706023 65412046 130824092