13742980 has 24 divisors (see below), whose sum is σ = 29258712. Its totient is φ = 5421312.

The previous prime is 13742957. The next prime is 13743001. The reversal of 13742980 is 8924731.

13742980 = T₁₄₉ + T₁₅₀ + ... + T₄₄₀.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 7661824 = 2466^2 + 2768^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3247 + ... + 6166.

It is an arithmetic number, because the mean of its divisors is an integer number (1219113).

Almost surely, 2^13742980 is an apocalyptic number.

13742980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13742980 is an abundant number, since it is smaller than the sum of its proper divisors (15515732).

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

13742980 is a wasteful number, since it uses less digits than its factorization.

13742980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9493 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13742980 is about 3707.1525460925. The cubic root of 13742980 is about 239.5302152856.

The spelling of 13742980 in words is "thirteen million, seven hundred forty-two thousand, nine hundred eighty".