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130924188 = 22342317569
BaseRepresentation
bin1111100110110…
…11111010011100
3100010100122020000
413303123322130
5232004033223
620554054300
73146560113
oct763337234
9303318200
10130924188
11679a330a
1237a1a390
1321180345
1413560c7a
15b762543
hex7cdbe9c

130924188 has 60 divisors (see below), whose sum is σ = 357162960. Its totient is φ = 41741568.

The previous prime is 130924181. The next prime is 130924219. The reversal of 130924188 is 881429031.

It is a super-2 number, since 2×1309241882 = 34282286006918688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130924181) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1333 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (5952716).

Almost surely, 2130924188 is an apocalyptic number.

130924188 is a gapful number since it is divisible by the number (18) 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 130924188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178581480).

130924188 is an abundant number, since it is smaller than the sum of its proper divisors (226238772).

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

130924188 is a wasteful number, since it uses less digits than its factorization.

130924188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17608 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 130924188 is about 11442.2108003655. The cubic root of 130924188 is about 507.7773167886. Note that the first 3 decimals are identical.

The spelling of 130924188 in words is "one hundred thirty million, nine hundred twenty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 621 828 1242 1863 2484 3726 7452 17569 35138 52707 70276 105414 158121 210828 316242 404087 474363 632484 808174 948726 1212261 1423089 1616348 1897452 2424522 2846178 3636783 4849044 5692356 7273566 10910349 14547132 21820698 32731047 43641396 65462094 130924188