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130548456 = 23335991009
BaseRepresentation
bin1111100100000…
…00001011101000
3100002122112211000
413302000023220
5231410022311
620542035000
73143433513
oct762001350
9302575730
10130548456
1167766a95
1237878a60
132107b30c
14134a3d7a
15b6db056
hex7c802e8

130548456 has 64 divisors (see below), whose sum is σ = 363600000. Its totient is φ = 43400448.

The previous prime is 130548421. The next prime is 130548461. The reversal of 130548456 is 654845031.

It is a happy number.

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 130548456.

It is an unprimeable number.

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, 128880 + ... + 129888.

It is an arithmetic number, because the mean of its divisors is an integer number (5681250).

Almost surely, 2130548456 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 130548456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181800000).

130548456 is an abundant number, since it is smaller than the sum of its proper divisors (233051544).

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

130548456 is a wasteful number, since it uses less digits than its factorization.

130548456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 130548456 is about 11425.7803234615. The cubic root of 130548456 is about 507.2911041388.

The spelling of 130548456 in words is "one hundred thirty million, five hundred forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 599 1009 1198 1797 2018 2396 3027 3594 4036 4792 5391 6054 7188 8072 9081 10782 12108 14376 16173 18162 21564 24216 27243 32346 36324 43128 54486 64692 72648 108972 129384 217944 604391 1208782 1813173 2417564 3626346 4835128 5439519 7252692 10879038 14505384 16318557 21758076 32637114 43516152 65274228 130548456