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120135056 = 24171014373
BaseRepresentation
bin1110010100100…
…01110110010000
322101001111022112
413022101312100
5221223310211
615530524452
72656062656
oct712216620
9271044275
10120135056
11618a4278
1234296728
131bb73542
1411d52dd6
15a83088b
hex7291d90

120135056 has 40 divisors (see below), whose sum is σ = 248950584. Its totient is φ = 55961600.

The previous prime is 120135031. The next prime is 120135079. The reversal of 120135056 is 650531021.

It can be written as a sum of positive squares in 4 ways, for example, as 70291456 + 49843600 = 8384^2 + 7060^2 .

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, 25286 + ... + 29658.

Almost surely, 2120135056 is an apocalyptic number.

120135056 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 120135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124475292).

120135056 is an abundant number, since it is smaller than the sum of its proper divisors (128815528).

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

120135056 is a wasteful number, since it uses less digits than its factorization.

120135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 120135056 is about 10960.6138514227. The cubic root of 120135056 is about 493.4273881219.

Adding to 120135056 its reverse (650531021), we get a palindrome (770666077).

The spelling of 120135056 in words is "one hundred twenty million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 4373 6868 8746 13736 17492 27472 34984 69968 74341 148682 297364 441673 594728 883346 1189456 1766692 3533384 7066768 7508441 15016882 30033764 60067528 120135056