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120420256 = 25111572179
BaseRepresentation
bin1110010110101…
…11011110100000
322101120222112111
413023113132200
5221311422011
615541005104
72661361315
oct713273640
9271528474
10120420256
1161a79580
12343b3794
131bc432b8
1411dc8d0c
15a88a121
hex72d77a0

120420256 has 48 divisors (see below), whose sum is σ = 260396640. Its totient is φ = 54362880.

The previous prime is 120420241. The next prime is 120420323. The reversal of 120420256 is 652024021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54175 + ... + 56353.

It is an arithmetic number, because the mean of its divisors is an integer number (5424930).

Almost surely, 2120420256 is an apocalyptic number.

120420256 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 120420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130198320).

120420256 is an abundant number, since it is smaller than the sum of its proper divisors (139976384).

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

120420256 is a wasteful number, since it uses less digits than its factorization.

120420256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 120420256 is about 10973.6163592500. The cubic root of 120420256 is about 493.8175442286.

Adding to 120420256 its reverse (652024021), we get a palindrome (772444277).

The spelling of 120420256 in words is "one hundred twenty million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2179 2512 3454 4358 5024 6908 8716 13816 17432 23969 27632 34864 47938 55264 69728 95876 191752 342103 383504 684206 767008 1368412 2736824 3763133 5473648 7526266 10947296 15052532 30105064 60210128 120420256