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130553412 = 223111735717
BaseRepresentation
bin1111100100000…
…01011001000100
3100002122210121120
413302001121010
5231410202122
620542113540
73143454123
oct762013104
9302583546
10130553412
116776a790
123787b8b0
1321080652
14134a5aba
15b6dc75c
hex7c81644

130553412 has 48 divisors (see below), whose sum is σ = 334297152. Its totient is φ = 39326080.

The previous prime is 130553347. The next prime is 130553417. The reversal of 130553412 is 214355031.

130553412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130553417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19978 + ... + 25694.

It is an arithmetic number, because the mean of its divisors is an integer number (6964524).

Almost surely, 2130553412 is an apocalyptic number.

130553412 is a gapful number since it is divisible by the number (12) 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 130553412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167148576).

130553412 is an abundant number, since it is smaller than the sum of its proper divisors (203743740).

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

130553412 is a wasteful number, since it uses less digits than its factorization.

130553412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 130553412 is about 11425.9971993695. The cubic root of 130553412 is about 507.2975234740.

The spelling of 130553412 in words is "one hundred thirty million, five hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 519 692 1038 1903 2076 3806 5709 5717 7612 11418 11434 17151 22836 22868 34302 62887 68604 125774 188661 251548 377322 754644 989041 1978082 2967123 3956164 5934246 10879451 11868492 21758902 32638353 43517804 65276706 130553412