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120643380 = 22325111343109
BaseRepresentation
bin1110011000011…
…01111100110100
322102000022121100
413030031330310
5221341042010
615545450100
72663310654
oct714157464
9272008540
10120643380
1162111180
12344a0930
131bcc0a20
1412046364
15a8d12c0
hex730df34

120643380 has 288 divisors, whose sum is σ = 443963520. Its totient is φ = 26127360.

The previous prime is 120643357. The next prime is 120643399. The reversal of 120643380 is 83346021.

It is a happy number.

120643380 is a `hidden beast` number, since 12 + 0 + 643 + 3 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106766 + ... + 1106874.

It is an arithmetic number, because the mean of its divisors is an integer number (1541540).

Almost surely, 2120643380 is an apocalyptic number.

120643380 is a gapful number since it is divisible by the number (10) 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 120643380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

120643380 is an abundant number, since it is smaller than the sum of its proper divisors (323320140).

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

120643380 is a wasteful number, since it uses less digits than its factorization.

120643380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120643380 is about 10983.7780385439. The cubic root of 120643380 is about 494.1223505455.

The spelling of 120643380 in words is "one hundred twenty million, six hundred forty-three thousand, three hundred eighty".