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120520120 = 2357523823
BaseRepresentation
bin1110010111011…
…11110110111000
322101210001112011
413023233312320
5221323120440
615543055304
72662255420
oct713576670
9271701464
10120520120
1162037606
1234441534
131bc798a6
1412013480
15a8a99ea
hex72efdb8

120520120 has 64 divisors (see below), whose sum is σ = 310878720. Its totient is φ = 41192064.

The previous prime is 120520087. The next prime is 120520121. The reversal of 120520120 is 21025021.

It is a self number, because there is not a number n which added to its sum of digits gives 120520120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120520121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146029 + ... + 146851.

It is an arithmetic number, because the mean of its divisors is an integer number (4857480).

Almost surely, 2120520120 is an apocalyptic number.

120520120 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 120520120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155439360).

120520120 is an abundant number, since it is smaller than the sum of its proper divisors (190358600).

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

120520120 is a wasteful number, since it uses less digits than its factorization.

120520120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 120520120 is about 10978.1656026861. The cubic root of 120520120 is about 493.9540134325.

Adding to 120520120 its reverse (21025021), we get a palindrome (141545141).

The spelling of 120520120 in words is "one hundred twenty million, five hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523 823 1046 1646 2092 2615 3292 3661 4115 4184 5230 5761 6584 7322 8230 10460 11522 14644 16460 18305 20920 23044 28805 29288 32920 36610 46088 57610 73220 115220 146440 230440 430429 860858 1721716 2152145 3013003 3443432 4304290 6026006 8608580 12052012 15065015 17217160 24104024 30130030 60260060 120520120