1293768140 has 48 divisors (see below), whose sum is σ = 3268473600. Its totient is φ = 420230592.

The previous prime is 1293768127. The next prime is 1293768241. The reversal of 1293768140 is 418673921.

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, 240530 + ... + 245849.

It is an arithmetic number, because the mean of its divisors is an integer number (68093200).

Almost surely, 2^1293768140 is an apocalyptic number.

1293768140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293768140 is an abundant number, since it is smaller than the sum of its proper divisors (1974705460).

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

1293768140 is a wasteful number, since it uses less digits than its factorization.

1293768140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486414 (or 486412 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1293768140 is about 35968.9885873929. The cubic root of 1293768140 is about 1089.6461382546.

The spelling of 1293768140 in words is "one billion, two hundred ninety-three million, seven hundred sixty-eight thousand, one hundred forty".