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130055076 = 2232191071777
BaseRepresentation
bin1111100000001…
…11101110100100
3100001201111000200
413300013232210
5231243230301
620523310500
73136310214
oct760075644
9301644020
10130055076
116745a338
123767b430
1320c37888
14133b6244
15b63ec86
hex7c07ba4

130055076 has 72 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 40663296.

The previous prime is 130055071. The next prime is 130055119. The reversal of 130055076 is 670550031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130055071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72300 + ... + 74076.

It is an arithmetic number, because the mean of its divisors is an integer number (4853940).

Almost surely, 2130055076 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 130055076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

130055076 is an abundant number, since it is smaller than the sum of its proper divisors (219428604).

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

130055076 is a wasteful number, since it uses less digits than its factorization.

130055076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 130055076 is about 11404.1692376078. The cubic root of 130055076 is about 506.6512312549.

It can be divided in two parts, 13005 and 5076, that added together give a palindrome (18081).

The spelling of 130055076 in words is "one hundred thirty million, fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 214 228 321 342 428 642 684 963 1284 1777 1926 2033 3554 3852 4066 5331 6099 7108 8132 10662 12198 15993 18297 21324 24396 31986 33763 36594 63972 67526 73188 101289 135052 190139 202578 303867 380278 405156 570417 607734 760556 1140834 1215468 1711251 2281668 3422502 3612641 6845004 7225282 10837923 14450564 21675846 32513769 43351692 65027538 130055076