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12738980 = 2251574057
BaseRepresentation
bin110000100110…
…000110100100
3212222012121002
4300212012210
511230121410
61133012432
7213164612
oct60460644
925865532
1012738980
117210a91
124324118
132840477
1419986b2
1511b97a5
hexc261a4

12738980 has 24 divisors (see below), whose sum is σ = 26928888. Its totient is φ = 5061888.

The previous prime is 12738977. The next prime is 12738983. The reversal of 12738980 is 8983721.

It is an interprime number because it is at equal distance from previous prime (12738977) and next prime (12738983).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 12124324 = 784^2 + 3482^2 .

It is a super-2 number, since 2×127389802 = 324563222880800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12738983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 5168.

It is an arithmetic number, because the mean of its divisors is an integer number (1122037).

Almost surely, 212738980 is an apocalyptic number.

12738980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12738980 is an abundant number, since it is smaller than the sum of its proper divisors (14189908).

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

12738980 is a wasteful number, since it uses less digits than its factorization.

12738980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 12738980 is about 3569.1707720422. The cubic root of 12738980 is about 233.5491110531.

The spelling of 12738980 in words is "twelve million, seven hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 4057 8114 16228 20285 40570 81140 636949 1273898 2547796 3184745 6369490 12738980