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276130764 = 2232713312719
BaseRepresentation
bin10000011101010…
…110101111001100
3201020120220012100
4100131112233030
51031142141024
643222235100
76562033650
oct2035265714
9636526170
10276130764
11131961148
1278585a90
13452914b0
142895ca60
15193967c9
hex10756bcc

276130764 has 144 divisors (see below), whose sum is σ = 887111680. Its totient is φ = 70450560.

The previous prime is 276130759. The next prime is 276130769. The reversal of 276130764 is 467031672.

It is an interprime number because it is at equal distance from previous prime (276130759) and next prime (276130769).

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

It is not an unprimeable number, because it can be changed into a prime (276130769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100197 + ... + 102915.

Almost surely, 2276130764 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 276130764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443555840).

276130764 is an abundant number, since it is smaller than the sum of its proper divisors (610980916).

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

276130764 is a wasteful number, since it uses less digits than its factorization.

276130764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

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

The square root of 276130764 is about 16617.1827937229. The cubic root of 276130764 is about 651.1858148534.

The spelling of 276130764 in words is "two hundred seventy-six million, one hundred thirty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2719 2821 3276 3627 3906 4836 5438 5642 7254 7812 8157 8463 10876 11284 14508 16314 16926 19033 24471 25389 32628 33852 35347 38066 48942 50778 57099 70694 76132 84289 97884 101556 106041 114198 141388 168578 171297 212082 228396 247429 252867 318123 337156 342594 424164 494858 505734 590023 636246 685188 742287 758601 989716 1011468 1095757 1180046 1272492 1484574 1517202 1770069 2191514 2226861 2360092 2969148 3034404 3287271 3540138 4383028 4453722 5310207 6574542 7080276 7670299 8907444 9861813 10620414 13149084 15340598 19723626 21240828 23010897 30681196 39447252 46021794 69032691 92043588 138065382 276130764