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18040120 = 2357193391
BaseRepresentation
bin100010011010…
…0010100111000
31020221112101121
41010310110320
514104240440
61442355024
7306224050
oct104642470
936845347
1018040120
11a20189a
12605ba74
133978337
142578560
1518b534a
hex1134538

18040120 has 64 divisors (see below), whose sum is σ = 48844800. Its totient is φ = 5857920.

The previous prime is 18040081. The next prime is 18040129. The reversal of 18040120 is 2104081.

It is a happy number.

It is a super-2 number, since 2×180401202 = 650891859228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18040094 and 18040103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18040129) 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, 3625 + ... + 7015.

It is an arithmetic number, because the mean of its divisors is an integer number (763200).

Almost surely, 218040120 is an apocalyptic number.

18040120 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 18040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422400).

18040120 is an abundant number, since it is smaller than the sum of its proper divisors (30804680).

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

18040120 is a wasteful number, since it uses less digits than its factorization.

18040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 18040120 is about 4247.3662427438. The cubic root of 18040120 is about 262.2687063156.

The spelling of 18040120 in words is "eighteen million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 3391 5320 6782 13564 16955 23737 27128 33910 47474 64429 67820 94948 118685 128858 135640 189896 237370 257716 322145 451003 474740 515432 644290 902006 949480 1288580 1804012 2255015 2577160 3608024 4510030 9020060 18040120