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20058120 = 2332555717
BaseRepresentation
bin100110010000…
…1000000001000
31101202001120100
41030201000020
520113324440
61553525400
7332330325
oct114410010
941661510
1020058120
111035aa65
126873860
134203a14
142941b4c
151b63230
hex1321008

20058120 has 48 divisors (see below), whose sum is σ = 65190060. Its totient is φ = 5348736.

The previous prime is 20058109. The next prime is 20058121. The reversal of 20058120 is 2185002.

It can be written as a sum of positive squares in 2 ways, for example, as 19342404 + 715716 = 4398^2 + 846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20058093 and 20058102.

It is not an unprimeable number, because it can be changed into a prime (20058121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27499 + ... + 28218.

Almost surely, 220058120 is an apocalyptic number.

20058120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20058120 is an abundant number, since it is smaller than the sum of its proper divisors (45131940).

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

20058120 is a wasteful number, since it uses less digits than its factorization.

20058120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55734 (or 55727 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20058120 is about 4478.6292545823. The cubic root of 20058120 is about 271.7044439584.

The spelling of 20058120 in words is "twenty million, fifty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 55717 111434 167151 222868 278585 334302 445736 501453 557170 668604 835755 1002906 1114340 1337208 1671510 2005812 2228680 2507265 3343020 4011624 5014530 6686040 10029060 20058120