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130140032 = 2711175437
BaseRepresentation
bin1111100000111…
…00011110000000
3100001212210120012
413300130132000
5231303440112
620525204052
73140113001
oct760343600
9301783505
10130140032
1167508150
1237700628
1320c67449
14133d91a8
15b65a022
hex7c1c780

130140032 has 64 divisors (see below), whose sum is σ = 299525040. Its totient is φ = 55664640.

The previous prime is 130140011. The next prime is 130140047. The reversal of 130140032 is 230041031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1301400322 = 33872855857922048, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 130139989 and 130140016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21218 + ... + 26654.

Almost surely, 2130140032 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 130140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149762520).

130140032 is an abundant number, since it is smaller than the sum of its proper divisors (169385008).

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

130140032 is a wasteful number, since it uses less digits than its factorization.

130140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130140032 is about 11407.8934076367. The cubic root of 130140032 is about 506.7615273294.

Adding to 130140032 its reverse (230041031), we get a palindrome (360181063).

Subtracting 130140032 from its reverse (230041031), we obtain a palindrome (99900999).

The spelling of 130140032 in words is "one hundred thirty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5437 5984 10874 11968 21748 23936 43496 59807 86992 92429 119614 173984 184858 239228 347968 369716 478456 695936 739432 956912 1016719 1478864 1913824 2033438 2957728 3827648 4066876 5915456 7655296 8133752 11830912 16267504 32535008 65070016 130140032