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130791465 = 32571014111
BaseRepresentation
bin1111100101110…
…11100000101001
3100010002220011100
413302323200221
5231440311330
620551152013
73145465140
oct762734051
9303086140
10130791465
1167912622
1237975609
1321134acc
1413528757
15b738060
hex7cbb829

130791465 has 48 divisors (see below), whose sum is σ = 261720576. Its totient is φ = 59184000.

The previous prime is 130791461. The next prime is 130791467. The reversal of 130791465 is 564197031.

It is not a de Polignac number, because 130791465 - 22 = 130791461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130791461) 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, 29760 + ... + 33870.

It is an arithmetic number, because the mean of its divisors is an integer number (5452512).

Almost surely, 2130791465 is an apocalyptic number.

130791465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130791465 is an abundant number, since it is smaller than the sum of its proper divisors (130929111).

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

130791465 is a wasteful number, since it uses less digits than its factorization.

130791465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 130791465 is about 11436.4096201561. The cubic root of 130791465 is about 507.6056741612.

The spelling of 130791465 in words is "one hundred thirty million, seven hundred ninety-one thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4111 4545 6363 10605 12333 20555 28777 31815 36999 61665 86331 143885 184995 258993 415211 431655 1245633 1294965 2076055 2906477 3736899 6228165 8719431 14532385 18684495 26158293 43597155 130791465