Search a number
-
+
1255440384 = 215341143
BaseRepresentation
bin100101011010100…
…1000000000000000
310020111022222110000
41022311020000000
510032343043014
6324324240000
743053032022
oct11265100000
93214288400
101255440384
11594732a40
122b0540000
13170135c43
14bca42012
157533c509
hex4ad48000

1255440384 has 320 divisors, whose sum is σ = 4186900080. Its totient is φ = 371589120.

The previous prime is 1255440367. The next prime is 1255440391. The reversal of 1255440384 is 4830445521.

It is a happy number.

1255440384 is a `hidden beast` number, since 125 + 54 + 403 + 84 = 666.

It is a super-2 number, since 2×12554403842 = 3152261115556134912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29196267 + ... + 29196309.

Almost surely, 21255440384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093450040).

1255440384 is an abundant number, since it is smaller than the sum of its proper divisors (2931459696).

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

1255440384 is an frugal number, since it uses more digits than its factorization.

1255440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1255440384 is about 35432.1941742252. The cubic root of 1255440384 is about 1078.7778768318. Note that the first 3 decimals are identical.

The spelling of 1255440384 in words is "one billion, two hundred fifty-five million, four hundred forty thousand, three hundred eighty-four".