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130667761 = 72232712
BaseRepresentation
bin1111100100111…
…01010011110001
3100002212121110201
413302131103301
5231422332021
620544355201
73144441400
oct762352361
9302777421
10130667761
1167838694
1237915b01
13210c0703
14134d5637
15b711591
hex7c9d4f1

130667761 has 27 divisors (see below), whose sum is σ = 161166873. Its totient is φ = 105622440.

The previous prime is 130667749. The next prime is 130667767. The reversal of 130667761 is 167766031.

The square root of 130667761 is 11431.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 130667761 - 217 = 130536689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130667761.

It is not an unprimeable number, because it can be changed into a prime (130667767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1840356 + ... + 1840426.

Almost surely, 2130667761 is an apocalyptic number.

130667761 is the 11431-st square number.

130667761 is the 5716-th centered octagonal number.

It is an amenable number.

130667761 is a deficient number, since it is larger than the sum of its proper divisors (30499112).

130667761 is an frugal number, since it uses more digits than its factorization.

130667761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The cubic root of 130667761 is about 507.4455906790.

The spelling of 130667761 in words is "one hundred thirty million, six hundred sixty-seven thousand, seven hundred sixty-one".

Divisors: 1 7 23 49 71 161 497 529 1127 1633 3479 3703 5041 11431 25921 35287 37559 80017 115943 247009 262913 811601 1840391 2666689 5681207 18666823 130667761