Search a number
-
+
120040256 = 267475701
BaseRepresentation
bin1110010011110…
…10101101000000
322100212200021102
413021322231000
5221212242011
615524513532
72655216410
oct711725500
9270780242
10120040256
116183a026
123424b8a8
131bb3c34b
1411d2a640
15a81273b
hex727ab40

120040256 has 56 divisors (see below), whose sum is σ = 278075136. Its totient is φ = 50342400.

The previous prime is 120040241. The next prime is 120040259. The reversal of 120040256 is 652040021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120040259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18206 + ... + 23906.

Almost surely, 2120040256 is an apocalyptic number.

120040256 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 120040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139037568).

120040256 is an abundant number, since it is smaller than the sum of its proper divisors (158034880).

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

120040256 is an equidigital number, since it uses as much as digits as its factorization.

120040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 120040256 is about 10956.2884226366. The cubic root of 120040256 is about 493.2975641626.

Adding to 120040256 its reverse (652040021), we get a palindrome (772080277).

The spelling of 120040256 in words is "one hundred twenty million, forty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 5701 10528 11402 21056 22804 39907 45608 79814 91216 159628 182432 267947 319256 364864 535894 638512 1071788 1277024 1875629 2143576 2554048 3751258 4287152 7502516 8574304 15005032 17148608 30010064 60020128 120040256