Search a number
-
+
120304256 = 271994723
BaseRepresentation
bin1110010101110…
…11001010000000
322101101002102012
413022323022000
5221244214011
615534312052
72660366162
oct712731200
9271332365
10120304256
11619aa406
1234358628
131bc02567
1411d98932
15a865a8b
hex72bb280

120304256 has 32 divisors (see below), whose sum is σ = 240924000. Its totient is φ = 59837184.

The previous prime is 120304253. The next prime is 120304259. The reversal of 120304256 is 652403021.

It is an interprime number because it is at equal distance from previous prime (120304253) and next prime (120304259).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1203042562 = 28946228023427072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120304253) 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, 23111 + ... + 27833.

It is an arithmetic number, because the mean of its divisors is an integer number (7528875).

Almost surely, 2120304256 is an apocalyptic number.

120304256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120462000).

120304256 is an abundant number, since it is smaller than the sum of its proper divisors (120619744).

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

120304256 is an equidigital number, since it uses as much as digits as its factorization.

120304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 120304256 is about 10968.3296814055. The cubic root of 120304256 is about 493.6589296116.

Adding to 120304256 its reverse (652403021), we get a palindrome (772707277).

The spelling of 120304256 in words is "one hundred twenty million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1592 3184 4723 6368 9446 12736 18892 25472 37784 75568 151136 302272 604544 939877 1879754 3759508 7519016 15038032 30076064 60152128 120304256