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120130768 = 24191512617
BaseRepresentation
bin1110010100100…
…00110011010000
322101001021102201
413022100303100
5221223141033
615530452544
72656044322
oct712206320
9271037381
10120130768
11618a102a
1234294154
131bb715c4
1411d51612
15a82e47d
hex7290cd0

120130768 has 40 divisors (see below), whose sum is σ = 246720320. Its totient is φ = 56505600.

The previous prime is 120130739. The next prime is 120130781. The reversal of 120130768 is 867031021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44596 + ... + 47212.

It is an arithmetic number, because the mean of its divisors is an integer number (6168008).

Almost surely, 2120130768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123360160).

120130768 is an abundant number, since it is smaller than the sum of its proper divisors (126589552).

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

120130768 is a wasteful number, since it uses less digits than its factorization.

120130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 120130768 is about 10960.4182401950. The cubic root of 120130768 is about 493.4215173908.

Adding to 120130768 its reverse (867031021), we get a palindrome (987161789).

The spelling of 120130768 in words is "one hundred twenty million, one hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 151 152 302 304 604 1208 2416 2617 2869 5234 5738 10468 11476 20936 22952 41872 45904 49723 99446 198892 395167 397784 790334 795568 1580668 3161336 6322672 7508173 15016346 30032692 60065384 120130768