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130777764 = 223131097691
BaseRepresentation
bin1111100101110…
…00001010100100
3100010002012100220
413302320022210
5231434342024
620551004340
73145410165
oct762701244
9303065326
10130777764
11679032a7
12379696b0
132112b7c0
141352376c
15b733e79
hex7cb82a4

130777764 has 48 divisors (see below), whose sum is σ = 331679040. Its totient is φ = 39864960.

The previous prime is 130777763. The next prime is 130777783. The reversal of 130777764 is 467777031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130777763) 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 15 ways as a sum of consecutive naturals, for example, 13159 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (6909980).

Almost surely, 2130777764 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 130777764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165839520).

130777764 is an abundant number, since it is smaller than the sum of its proper divisors (200901276).

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

130777764 is a wasteful number, since it uses less digits than its factorization.

130777764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 130777764 is about 11435.8105965428. The cubic root of 130777764 is about 507.5879488756.

The spelling of 130777764 in words is "one hundred thirty million, seven hundred seventy-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4251 5668 7691 8502 15382 17004 23073 30764 46146 92292 99983 199966 299949 399932 599898 838319 1199796 1676638 2514957 3353276 5029914 10059828 10898147 21796294 32694441 43592588 65388882 130777764