Search a number
-
+
12976460 = 2257591571
BaseRepresentation
bin110001100000…
…000101001100
3220102021100122
4301200011030
511310221320
61142044112
7215204150
oct61400514
926367318
1012976460
117363452
124419638
1328c45a3
141a1b060
151214d25
hexc6014c

12976460 has 48 divisors (see below), whose sum is σ = 31691520. Its totient is φ = 4370880.

The previous prime is 12976451. The next prime is 12976463. The reversal of 12976460 is 6467921.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12976460.

It is not an unprimeable number, because it can be changed into a prime (12976463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7475 + ... + 9045.

It is an arithmetic number, because the mean of its divisors is an integer number (660240).

Almost surely, 212976460 is an apocalyptic number.

12976460 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 12976460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15845760).

12976460 is an abundant number, since it is smaller than the sum of its proper divisors (18715060).

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

12976460 is a wasteful number, since it uses less digits than its factorization.

12976460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 12976460 is about 3602.2853856961. The cubic root of 12976460 is about 234.9914588717.

The spelling of 12976460 in words is "twelve million, nine hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1571 1652 2065 3142 4130 6284 7855 8260 10997 15710 21994 31420 43988 54985 92689 109970 185378 219940 370756 463445 648823 926890 1297646 1853780 2595292 3244115 6488230 12976460