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18935040 = 28354931
BaseRepresentation
bin100100000111…
…0110100000000
31022121222222210
41020032310000
514321410130
61513502120
7316642125
oct110166400
938558883
1018935040
11a7631a3
126411940
133bcc787
14272c74c
1519e05b0
hex120ed00

18935040 has 72 divisors (see below), whose sum is σ = 60486048. Its totient is φ = 5048320.

The previous prime is 18935011. The next prime is 18935051. The reversal of 18935040 is 4053981.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18934989 and 18935007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (840084).

Almost surely, 218935040 is an apocalyptic number.

18935040 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 18935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30243024).

18935040 is an abundant number, since it is smaller than the sum of its proper divisors (41551008).

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

18935040 is an equidigital number, since it uses as much as digits as its factorization.

18935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 18935040 is about 4351.4411405878. The cubic root of 18935040 is about 266.5357134805.

The spelling of 18935040 in words is "eighteen million, nine hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 4931 9862 14793 19724 24655 29586 39448 49310 59172 73965 78896 98620 118344 147930 157792 197240 236688 295860 315584 394480 473376 591720 631168 788960 946752 1183440 1262336 1577920 1893504 2366880 3155840 3787008 4733760 6311680 9467520 18935040