42713120 has 24 divisors (see below), whose sum is σ = 100910124. Its totient is φ = 17085184.

The previous prime is 42713119. The next prime is 42713149. The reversal of 42713120 is 2131724.

It can be written as a sum of positive squares in 2 ways, for example, as 42562576 + 150544 = 6524^2 + 388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42713092 and 42713101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133319 + ... + 133638.

Almost surely, 2^42713120 is an apocalyptic number.

42713120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42713120 is an abundant number, since it is smaller than the sum of its proper divisors (58197004).

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

42713120 is a wasteful number, since it uses less digits than its factorization.

42713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266972 (or 266964 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 42713120 is about 6535.5275227024. The cubic root of 42713120 is about 349.5589546633.

Adding to 42713120 its reverse (2131724), we get a palindrome (44844844).

The spelling of 42713120 in words is "forty-two million, seven hundred thirteen thousand, one hundred twenty".