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12880740 = 22351371567
BaseRepresentation
bin110001001000…
…101101100100
3220020102001110
4301020231210
511244140430
61140025020
7214325115
oct61105544
926212043
1012880740
1172a8544
124392170
13288cb52
1419d420c
1511e67b0
hexc48b64

12880740 has 48 divisors (see below), whose sum is σ = 36352512. Its totient is φ = 3407616.

The previous prime is 12880739. The next prime is 12880741. The reversal of 12880740 is 4708821.

It is an interprime number because it is at equal distance from previous prime (12880739) and next prime (12880741).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12880698 and 12880707.

It is not an unprimeable number, because it can be changed into a prime (12880741) 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, 7437 + ... + 9003.

It is an arithmetic number, because the mean of its divisors is an integer number (757344).

Almost surely, 212880740 is an apocalyptic number.

12880740 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 12880740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176256).

12880740 is an abundant number, since it is smaller than the sum of its proper divisors (23471772).

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

12880740 is a wasteful number, since it uses less digits than its factorization.

12880740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12880740 is about 3588.9747839738. The cubic root of 12880740 is about 234.4122326627.

The spelling of 12880740 in words is "twelve million, eight hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1567 1644 2055 2740 3134 4110 4701 6268 7835 8220 9402 15670 18804 23505 31340 47010 94020 214679 429358 644037 858716 1073395 1288074 2146790 2576148 3220185 4293580 6440370 12880740