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130553332 = 227131943439
BaseRepresentation
bin1111100100000…
…01010111110100
3100002122210111121
413302001113310
5231410201312
620542113324
73143453650
oct762012764
9302583447
10130553332
116776a718
123787b844
13210805c0
14134a5a60
15b6dc707
hex7c815f4

130553332 has 96 divisors (see below), whose sum is σ = 303564800. Its totient is φ = 47682432.

The previous prime is 130553327. The next prime is 130553341. The reversal of 130553332 is 233355031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130553297 and 130553306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297169 + ... + 297607.

Almost surely, 2130553332 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 130553332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151782400).

130553332 is an abundant number, since it is smaller than the sum of its proper divisors (173011468).

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

130553332 is a wasteful number, since it uses less digits than its factorization.

130553332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 130553332 is about 11425.9936985804. The cubic root of 130553332 is about 507.2974198541.

The spelling of 130553332 in words is "one hundred thirty million, five hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 43 52 76 86 91 133 172 182 247 266 301 364 439 494 532 559 602 817 878 988 1118 1204 1634 1729 1756 2236 3073 3268 3458 3913 5707 5719 6146 6916 7826 8341 10621 11414 11438 12292 15652 16682 18877 21242 22828 22876 33364 37754 39949 42484 58387 74347 75508 79898 108433 116774 132139 148694 159796 216866 233548 245401 264278 297388 358663 433732 490802 528556 717326 759031 981604 1434652 1518062 1717807 2510641 3036124 3435614 4662619 5021282 6871228 9325238 10042564 18650476 32638333 65276666 130553332