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12959340 = 2235435023
BaseRepresentation
bin110001011011…
…111001101100
3220101101212120
4301123321230
511304144330
61141432540
7215103222
oct61337154
926341776
1012959340
1173515a9
12440b750
1328b9864
141a14b12
15120ec10
hexc5be6c

12959340 has 48 divisors (see below), whose sum is σ = 37137408. Its totient is φ = 3374784.

The previous prime is 12959329. The next prime is 12959351. The reversal of 12959340 is 4395921.

12959340 = T299 + T300 + ... + T470.

It is an interprime number because it is at equal distance from previous prime (12959329) and next prime (12959351).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69 + ... + 5091.

It is an arithmetic number, because the mean of its divisors is an integer number (773696).

Almost surely, 212959340 is an apocalyptic number.

12959340 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 12959340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568704).

12959340 is an abundant number, since it is smaller than the sum of its proper divisors (24178068).

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

12959340 is a wasteful number, since it uses less digits than its factorization.

12959340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 12959340 is about 3599.9083321663. The cubic root of 12959340 is about 234.8880710373. Note that the first 3 decimals are identical.

The spelling of 12959340 in words is "twelve million, nine hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5023 10046 15069 20092 25115 30138 50230 60276 75345 100460 150690 215989 301380 431978 647967 863956 1079945 1295934 2159890 2591868 3239835 4319780 6479670 12959340