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130776976 = 24112393109
BaseRepresentation
bin1111100101101…
…11111110010000
3100010002011021201
413302313332100
5231434330401
620551000544
73145404661
oct762677620
9303064251
10130776976
1167902750
1237969154
132112b335
1413523368
15b733b01
hex7cb7f90

130776976 has 40 divisors (see below), whose sum is σ = 277660800. Its totient is φ = 59176320.

The previous prime is 130776973. The next prime is 130776977. The reversal of 130776976 is 679677031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130776973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40510 + ... + 43618.

It is an arithmetic number, because the mean of its divisors is an integer number (6941520).

Almost surely, 2130776976 is an apocalyptic number.

130776976 is a gapful number since it is divisible by the number (16) 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 130776976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830400).

130776976 is an abundant number, since it is smaller than the sum of its proper divisors (146883824).

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

130776976 is a wasteful number, since it uses less digits than its factorization.

130776976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 46.

The square root of 130776976 is about 11435.7761433145. The cubic root of 130776976 is about 507.5869293850.

The spelling of 130776976 in words is "one hundred thirty million, seven hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 3109 3824 5258 6218 10516 12436 21032 24872 34199 42064 49744 68398 136796 273592 547184 743051 1486102 2972204 5944408 8173561 11888816 16347122 32694244 65388488 130776976