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12959140 = 2251967509
BaseRepresentation
bin110001011011…
…110110100100
3220101101121011
4301123312210
511304143030
61141432004
7215102515
oct61336644
926341534
1012959140
117351437
12440b604
1328b973c
141a14a0c
15120eb2a
hexc5bda4

12959140 has 48 divisors (see below), whose sum is σ = 29131200. Its totient is φ = 4828032.

The previous prime is 12959131. The next prime is 12959153. The reversal of 12959140 is 4195921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25206 + ... + 25714.

It is an arithmetic number, because the mean of its divisors is an integer number (606900).

Almost surely, 212959140 is an apocalyptic number.

12959140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565600).

12959140 is an abundant number, since it is smaller than the sum of its proper divisors (16172060).

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

12959140 is a wasteful number, since it uses less digits than its factorization.

12959140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 12959140 is about 3599.8805535740. The cubic root of 12959140 is about 234.8868626975.

The spelling of 12959140 in words is "twelve million, nine hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 509 670 1018 1273 1340 2036 2545 2546 5090 5092 6365 9671 10180 12730 19342 25460 34103 38684 48355 68206 96710 136412 170515 193420 341030 647957 682060 1295914 2591828 3239785 6479570 12959140