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130959108 = 223274711057
BaseRepresentation
bin1111100111001…
…00011100000100
3100010102102010100
413303210130010
5232011142413
620554524100
73150063660
oct763443404
9303372110
10130959108
1167a17575
1237a36630
13211931c7
141356d8a0
15b76ca73
hex7ce4704

130959108 has 72 divisors (see below), whose sum is σ = 386410752. Its totient is φ = 36617472.

The previous prime is 130959091. The next prime is 130959121. The reversal of 130959108 is 801959031.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 6316 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (5366816).

Almost surely, 2130959108 is an apocalyptic number.

130959108 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 130959108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193205376).

130959108 is an abundant number, since it is smaller than the sum of its proper divisors (255451644).

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

130959108 is a wasteful number, since it uses less digits than its factorization.

130959108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 130959108 is about 11443.7366275181. The cubic root of 130959108 is about 507.8224574357.

The spelling of 130959108 in words is "one hundred thirty million, nine hundred fifty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 11057 11844 22114 33171 44228 66342 77399 99513 132684 154798 199026 232197 309596 398052 464394 519679 696591 928788 1039358 1393182 1559037 2078716 2786364 3118074 3637753 4677111 6236148 7275506 9354222 10913259 14551012 18708444 21826518 32739777 43653036 65479554 130959108