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130896766 = 271113151433
BaseRepresentation
bin1111100110101…
…01001101111110
3100010022020121101
413303111031332
5232002144031
620553323314
73146414140
oct763251576
9303266541
10130896766
1167984750
1237a0653a
1321170a10
1413554c90
15b759361
hex7cd537e

130896766 has 64 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 46656000.

The previous prime is 130896721. The next prime is 130896767. The reversal of 130896766 is 667698031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130896767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302086 + ... + 302518.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2130896766 is an apocalyptic number.

130896766 is an abundant number, since it is smaller than the sum of its proper divisors (135086210).

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

130896766 is a wasteful number, since it uses less digits than its factorization.

130896766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 130896766 is about 11441.0124551982. The cubic root of 130896766 is about 507.7418630856.

The spelling of 130896766 in words is "one hundred thirty million, eight hundred ninety-six thousand, seven hundred sixty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 151 154 182 286 302 433 866 1001 1057 1661 1963 2002 2114 3031 3322 3926 4763 5629 6062 9526 11258 11627 13741 21593 23254 27482 33341 39403 43186 61919 65383 66682 78806 123838 130766 151151 302302 433433 457681 719213 849979 866866 915362 1438426 1699958 5034491 5949853 9349769 10068982 11899706 18699538 65448383 130896766