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130355766 = 23223499631
BaseRepresentation
bin1111100010100…
…01001000110110
3100002021202111100
413301101020312
5231332341031
620533550530
73142001652
oct761211066
9302252440
10130355766
1167645242
12377a5446
13210116b8
1413453a62
15b69dde6
hex7c51236

130355766 has 48 divisors (see below), whose sum is σ = 295776000. Its totient is φ = 41413680.

The previous prime is 130355761. The next prime is 130355791. The reversal of 130355766 is 667553031.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130355766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130355761) 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 23 ways as a sum of consecutive naturals, for example, 206271 + ... + 206901.

It is an arithmetic number, because the mean of its divisors is an integer number (6162000).

Almost surely, 2130355766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130355766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147888000).

130355766 is an abundant number, since it is smaller than the sum of its proper divisors (165420234).

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

130355766 is a wasteful number, since it uses less digits than its factorization.

130355766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1158 counting only the distinct ones).

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

The square root of 130355766 is about 11417.3449628186. The cubic root of 130355766 is about 507.0413933969.

The spelling of 130355766 in words is "one hundred thirty million, three hundred fifty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 499 631 998 1262 1497 1893 2994 3786 4491 5679 8982 11358 11477 14513 22954 29026 34431 43539 68862 87078 103293 130617 206586 261234 314869 629738 944607 1889214 2833821 5667642 7241987 14483974 21725961 43451922 65177883 130355766