Search a number
-
+
240728256 = 2632417931
BaseRepresentation
bin11100101100100…
…11100011000000
3121202222021002100
432112103203000
5443111301011
635515350400
75652104436
oct1626234300
9552867070
10240728256
1111398077a
1268752400
133ab47472
1423d84d56
1516201d56
hexe5938c0

240728256 has 42 divisors (see below), whose sum is σ = 690005732. Its totient is φ = 80242560.

The previous prime is 240728251. The next prime is 240728263. The reversal of 240728256 is 652827042.

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

It is a self number, because there is not a number n which added to its sum of digits gives 240728256.

It is not an unprimeable number, because it can be changed into a prime (240728251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208390 + ... + 209541.

Almost surely, 2240728256 is an apocalyptic number.

It is an amenable number.

240728256 is an abundant number, since it is smaller than the sum of its proper divisors (449277476).

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

240728256 is a wasteful number, since it uses less digits than its factorization.

240728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417949 (or 417936 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 240728256 is about 15515.4199427537. The cubic root of 240728256 is about 622.0744389014.

The spelling of 240728256 in words is "two hundred forty million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 417931 835862 1253793 1671724 2507586 3343448 3761379 5015172 6686896 7522758 10030344 13373792 15045516 20060688 26747584 30091032 40121376 60182064 80242752 120364128 240728256