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130553676 = 2232112174143
BaseRepresentation
bin1111100100000…
…01011101001100
3100002122210222100
413302001131030
5231410204201
620542115100
73143454651
oct762013514
9302583870
10130553676
116776aa00
123787ba90
13210807c6
14134a5c28
15b6dc886
hex7c8174c

130553676 has 216 divisors, whose sum is σ = 402594192. Its totient is φ = 35481600.

The previous prime is 130553669. The next prime is 130553677. The reversal of 130553676 is 676355031.

It is a happy number.

130553676 is a `hidden beast` number, since 1 + 30 + 553 + 6 + 76 = 666.

It is a super-2 number, since 2×1305536762 = 34088524634225952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130553676.

It is not an unprimeable number, because it can be changed into a prime (130553677) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3036111 + ... + 3036153.

It is an arithmetic number, because the mean of its divisors is an integer number (1863862).

Almost surely, 2130553676 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 130553676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201297096).

130553676 is an abundant number, since it is smaller than the sum of its proper divisors (272040516).

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

130553676 is a wasteful number, since it uses less digits than its factorization.

130553676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 130553676 is about 11426.0087519658. The cubic root of 130553676 is about 507.2978654195.

The spelling of 130553676 in words is "one hundred thirty million, five hundred fifty-three thousand, six hundred seventy-six".