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120055540 = 225112292383
BaseRepresentation
bin1110010011111…
…10011011110100
322100220110020111
413021332123310
5221213234130
615525112404
72655312103
oct711763364
9270813214
10120055540
116184a560
1234258704
131bb462a7
1411d3203a
15a81702a
hex727e6f4

120055540 has 48 divisors (see below), whose sum is σ = 276353280. Its totient is φ = 43447680.

The previous prime is 120055517. The next prime is 120055549. The reversal of 120055540 is 45550021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120055549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49189 + ... + 51571.

It is an arithmetic number, because the mean of its divisors is an integer number (5757360).

Almost surely, 2120055540 is an apocalyptic number.

120055540 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 120055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138176640).

120055540 is an abundant number, since it is smaller than the sum of its proper divisors (156297740).

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

120055540 is a wasteful number, since it uses less digits than its factorization.

120055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 120055540 is about 10956.9858994160. The cubic root of 120055540 is about 493.3184994728.

The spelling of 120055540 in words is "one hundred twenty million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2290 2383 2519 4580 4766 5038 9532 10076 11915 12595 23830 25190 26213 47660 50380 52426 104852 131065 262130 524260 545707 1091414 2182828 2728535 5457070 6002777 10914140 12005554 24011108 30013885 60027770 120055540