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130762104 = 2331119131199
BaseRepresentation
bin1111100101101…
…00010101111000
3100010001101212220
413302310111320
5231433341404
620550404040
73145313424
oct762642570
9303041786
10130762104
11678a2560
1237960620
1321124635
141351bb84
15b72e4d9
hex7cb4578

130762104 has 128 divisors (see below), whose sum is σ = 380160000. Its totient is φ = 37065600.

The previous prime is 130762081. The next prime is 130762129. The reversal of 130762104 is 401267031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656997 + ... + 657195.

It is an arithmetic number, because the mean of its divisors is an integer number (2970000).

Almost surely, 2130762104 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 130762104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080000).

130762104 is an abundant number, since it is smaller than the sum of its proper divisors (249397896).

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

130762104 is a wasteful number, since it uses less digits than its factorization.

130762104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130762104 is about 11435.1258847465. The cubic root of 130762104 is about 507.5676876723.

The spelling of 130762104 in words is "one hundred thirty million, seven hundred sixty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 131 132 152 199 209 228 262 264 393 398 418 456 524 597 627 786 796 836 1048 1194 1254 1441 1572 1592 1672 2189 2388 2489 2508 2882 3144 3781 4323 4378 4776 4978 5016 5764 6567 7467 7562 8646 8756 9956 11343 11528 13134 14934 15124 17292 17512 19912 22686 26069 26268 27379 29868 30248 34584 41591 45372 52138 52536 54758 59736 78207 82137 83182 90744 104276 109516 124773 156414 164274 166364 208552 219032 249546 286759 312828 328548 332728 495311 499092 573518 625656 657096 860277 990622 998184 1147036 1485933 1720554 1981244 2294072 2971866 3441108 3962488 5448421 5943732 6882216 10896842 11887464 16345263 21793684 32690526 43587368 65381052 130762104