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130726764 = 22337192479
BaseRepresentation
bin1111100101010…
…11101101101100
3100002222121102000
413302223231230
5231431224024
620545532300
73145105410
oct762535554
9302877360
10130726764
1167878a53
1237944090
132111151c
141350cd40
15b723cc9
hex7cabb6c

130726764 has 144 divisors (see below), whose sum is σ = 409651200. Its totient is φ = 35310816.

The previous prime is 130726763. The next prime is 130726781. The reversal of 130726764 is 467627031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130726763) 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 47 ways as a sum of consecutive naturals, for example, 272677 + ... + 273155.

It is an arithmetic number, because the mean of its divisors is an integer number (2844800).

Almost surely, 2130726764 is an apocalyptic number.

130726764 is a gapful number since it is divisible by the number (14) 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 130726764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

130726764 is an abundant number, since it is smaller than the sum of its proper divisors (278924436).

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

130726764 is a wasteful number, since it uses less digits than its factorization.

130726764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 130726764 is about 11433.5805415452. The cubic root of 130726764 is about 507.5219581689.

The spelling of 130726764 in words is "one hundred thirty million, seven hundred twenty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 361 378 399 479 513 532 684 722 756 798 958 1026 1083 1197 1437 1444 1596 1916 2052 2166 2394 2527 2874 3249 3353 3591 4311 4332 4788 5054 5748 6498 6706 7182 7581 8622 9101 9747 10059 10108 12933 12996 13412 14364 15162 17244 18202 19494 20118 22743 25866 27303 30177 30324 36404 38988 40236 45486 51732 54606 60354 63707 68229 81909 90531 90972 109212 120708 127414 136458 163818 172919 181062 191121 245727 254828 272916 327636 345838 362124 382242 491454 518757 573363 691676 764484 982908 1037514 1146726 1210433 1556271 1720089 2075028 2293452 2420866 3112542 3440178 3631299 4668813 4841732 6225084 6880356 7262598 9337626 10893897 14525196 18675252 21787794 32681691 43575588 65363382 130726764