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130895973 = 33133710079
BaseRepresentation
bin1111100110101…
…01000001100101
3100010022012112000
413303111001211
5232002132343
620553315513
73146411625
oct763250145
9303265460
10130895973
116798409a
1237a05b99
1321170550
1413554885
15b758ed3
hex7cd5065

130895973 has 32 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 78366528.

The previous prime is 130895953. The next prime is 130895977. The reversal of 130895973 is 379598031.

It is a happy number.

It is not a de Polignac number, because 130895973 - 216 = 130830437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130895977) 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, 7948 + ... + 18026.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2130895973 is an apocalyptic number.

130895973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130895973 is a deficient number, since it is larger than the sum of its proper divisors (83606427).

130895973 is a wasteful number, since it uses less digits than its factorization.

130895973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 130895973 is about 11440.9777991219. The cubic root of 130895973 is about 507.7408377480.

The spelling of 130895973 in words is "one hundred thirty million, eight hundred ninety-five thousand, nine hundred seventy-three".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 4329 10079 12987 30237 90711 131027 272133 372923 393081 1118769 1179243 3356307 3537729 4847999 10068921 14543997 43631991 130895973