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12976340 = 22513291721
BaseRepresentation
bin110001100000…
…000011010100
3220102021012012
4301200003110
511310220330
61142043352
7215203616
oct61400324
926367165
1012976340
117363353
124419558
1328c4510
141a1adb6
151214c95
hexc600d4

12976340 has 48 divisors (see below), whose sum is σ = 30376080. Its totient is φ = 4623360.

The previous prime is 12976339. The next prime is 12976357. The reversal of 12976340 is 4367921.

It can be written as a sum of positive squares in 8 ways, for example, as 217156 + 12759184 = 466^2 + 3572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12976297 and 12976306.

It is a congruent number.

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, 6680 + ... + 8400.

It is an arithmetic number, because the mean of its divisors is an integer number (632835).

Almost surely, 212976340 is an apocalyptic number.

12976340 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 12976340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15188040).

12976340 is an abundant number, since it is smaller than the sum of its proper divisors (17399740).

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

12976340 is a wasteful number, since it uses less digits than its factorization.

12976340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 12976340 is about 3602.2687295647. The cubic root of 12976340 is about 234.9907345072.

The spelling of 12976340 in words is "twelve million, nine hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1721 1885 3442 3770 6884 7540 8605 17210 22373 34420 44746 49909 89492 99818 111865 199636 223730 249545 447460 499090 648817 998180 1297634 2595268 3244085 6488170 12976340