Search a number
-
+
515738920 = 23512893473
BaseRepresentation
bin11110101111011…
…000110100101000
31022221110020210111
4132233120310220
52024012121140
6123102024104
715531465004
oct3657306450
91287406714
10515738920
11245137314
12124878034
1382b05b78
144c6d1704
15304267ea
hex1ebd8d28

515738920 has 16 divisors (see below), whose sum is σ = 1160412660. Its totient is φ = 206295552.

The previous prime is 515738903. The next prime is 515738921. The reversal of 515738920 is 29837515.

It can be written as a sum of positive squares in 2 ways, for example, as 513566244 + 2172676 = 22662^2 + 1474^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 12893473 = 515738920 / (5 + 1 + 5 + 7 + 3 + 8 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (515738921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6446697 + ... + 6446776.

Almost surely, 2515738920 is an apocalyptic number.

It is an amenable number.

515738920 is an abundant number, since it is smaller than the sum of its proper divisors (644673740).

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

515738920 is a wasteful number, since it uses less digits than its factorization.

515738920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893484 (or 12893480 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 515738920 is about 22709.8859530382. The cubic root of 515738920 is about 801.9426330693.

The spelling of 515738920 in words is "five hundred fifteen million, seven hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12893473 25786946 51573892 64467365 103147784 128934730 257869460 515738920