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18720120 = 2335732137
BaseRepresentation
bin100011101101…
…0010101111000
31022020002011210
41013122111320
514243020440
61505123120
7315055416
oct107322570
938202153
1018720120
11a626781
1263294a0
133b559c3
1426b42b6
15199ba80
hex11da578

18720120 has 64 divisors (see below), whose sum is σ = 56956320. Its totient is φ = 4921344.

The previous prime is 18720083. The next prime is 18720173. The reversal of 18720120 is 2102781.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692 + ... + 9828.

Almost surely, 218720120 is an apocalyptic number.

18720120 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 18720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28478160).

18720120 is an abundant number, since it is smaller than the sum of its proper divisors (38236200).

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

18720120 is a wasteful number, since it uses less digits than its factorization.

18720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 18720120 is about 4326.6753980395. The cubic root of 18720120 is about 265.5234462077.

The spelling of 18720120 in words is "eighteen million, seven hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2137 2190 2920 4274 4380 6411 8548 8760 10685 12822 17096 21370 25644 32055 42740 51288 64110 85480 128220 156001 256440 312002 468003 624004 780005 936006 1248008 1560010 1872012 2340015 3120020 3744024 4680030 6240040 9360060 18720120