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130782510 = 23251976481
BaseRepresentation
bin1111100101110…
…01010100101110
3100010002102212200
413302321110232
5231440020020
620551042330
73145430055
oct762712456
9303072780
10130782510
1167906921
12379703a6
1321130a01
141352539c
15b735590
hex7cb952e

130782510 has 48 divisors (see below), whose sum is σ = 357935760. Its totient is φ = 33039360.

The previous prime is 130782437. The next prime is 130782511. The reversal of 130782510 is 15287031.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130782511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36531 + ... + 39950.

It is an arithmetic number, because the mean of its divisors is an integer number (7456995).

Almost surely, 2130782510 is an apocalyptic number.

130782510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130782510 is an abundant number, since it is smaller than the sum of its proper divisors (227153250).

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

130782510 is a wasteful number, since it uses less digits than its factorization.

130782510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76513 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 130782510 is about 11436.0181007202. The cubic root of 130782510 is about 507.5940890205.

The spelling of 130782510 in words is "one hundred thirty million, seven hundred eighty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 76481 152962 229443 382405 458886 688329 764810 1147215 1376658 1453139 2294430 2906278 3441645 4359417 6883290 7265695 8718834 13078251 14531390 21797085 26156502 43594170 65391255 130782510