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130776716 = 22717416701
BaseRepresentation
bin1111100101101…
…11111010001100
3100010002010221002
413302313322030
5231434323331
620550555432
73145404140
oct762677214
9303063832
10130776716
1167902534
1237968b78
132112b195
1413523220
15b7339cb
hex7cb7e8c

130776716 has 48 divisors (see below), whose sum is σ = 283735872. Its totient is φ = 51456000.

The previous prime is 130776713. The next prime is 130776739. The reversal of 130776716 is 617677031.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130776716.

It is not an unprimeable number, because it can be changed into a prime (130776713) 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 15 ways as a sum of consecutive naturals, for example, 16166 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (5911164).

Almost surely, 2130776716 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 130776716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141867936).

130776716 is an abundant number, since it is smaller than the sum of its proper divisors (152959156).

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

130776716 is a wasteful number, since it uses less digits than its factorization.

130776716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6770 (or 6768 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 130776716 is about 11435.7647754752. The cubic root of 130776716 is about 507.5865930039.

The spelling of 130776716 in words is "one hundred thirty million, seven hundred seventy-six thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1148 1394 2788 4879 6701 9758 13402 19516 26804 46907 93814 113917 187628 227834 274741 455668 549482 797419 1098964 1594838 1923187 3189676 3846374 4670597 7692748 9341194 18682388 32694179 65388358 130776716