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130938544 = 241131103233
BaseRepresentation
bin1111100110111…
…11011010110000
3100010101100220201
413303133122300
5232010013134
620554244544
73146650012
oct763373260
9303340821
10130938544
1167a03080
1237a26754
1321186a39
14135661b2
15b766914
hex7cdf6b0

130938544 has 80 divisors (see below), whose sum is σ = 289695744. Its totient is φ = 56793600.

The previous prime is 130938541. The next prime is 130938581. The reversal of 130938544 is 445839031.

It is not an unprimeable number, because it can be changed into a prime (130938541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561852 + ... + 562084.

Almost surely, 2130938544 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 130938544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

130938544 is an abundant number, since it is smaller than the sum of its proper divisors (158757200).

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

130938544 is a wasteful number, since it uses less digits than its factorization.

130938544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 130938544 is about 11442.8381094901. The cubic root of 130938544 is about 507.7958755817.

The spelling of 130938544 in words is "one hundred thirty million, nine hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 103 124 176 206 233 248 341 412 466 496 682 824 932 1133 1364 1648 1864 2266 2563 2728 3193 3728 4532 5126 5456 6386 7223 9064 10252 12772 14446 18128 20504 23999 25544 28892 35123 41008 47998 51088 57784 70246 79453 95996 115568 140492 158906 191992 263989 280984 317812 383984 527978 561968 635624 743969 1055956 1271248 1487938 2111912 2975876 4223824 5951752 8183659 11903504 16367318 32734636 65469272 130938544