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130877505 = 33511312843
BaseRepresentation
bin1111100110100…
…00100001000001
3100010021021012000
413303100201001
5232001040010
620553054213
73146304033
oct763204101
9303237160
10130877505
1167971230
12379b7369
1321165015
141354bc53
15b7537c0
hex7cd0841

130877505 has 64 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 61387200.

The previous prime is 130877501. The next prime is 130877557. The reversal of 130877505 is 505778031.

It is not a de Polignac number, because 130877505 - 22 = 130877501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130877505.

It is not an unprimeable number, because it can be changed into a prime (130877501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44614 + ... + 47456.

It is an arithmetic number, because the mean of its divisors is an integer number (4095360).

Almost surely, 2130877505 is an apocalyptic number.

130877505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130877505 is an abundant number, since it is smaller than the sum of its proper divisors (131225535).

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

130877505 is a wasteful number, since it uses less digits than its factorization.

130877505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 130877505 is about 11440.1706718038. The cubic root of 130877505 is about 507.7169577192.

The spelling of 130877505 in words is "one hundred thirty million, eight hundred seventy-seven thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 2843 3069 4185 5115 8529 9207 14215 15345 25587 31273 42645 46035 76761 88133 93819 127935 156365 264399 281457 383805 440665 469095 793197 844371 969463 1321995 1407285 2379591 2908389 3965985 4221855 4847315 8725167 11897955 14541945 26175501 43625835 130877505