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18719040 = 2635173137
BaseRepresentation
bin100011101101…
…0000101000000
31022020000200210
41013122011000
514243002130
61505114120
7315052314
oct107320500
938200623
1018719040
11a62598a
126328940
133b55372
1426b3b44
15199b5b0
hex11da140

18719040 has 224 divisors, whose sum is σ = 66714624. Its totient is φ = 4423680.

The previous prime is 18719039. The next prime is 18719053. The reversal of 18719040 is 4091781.

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 = 18718989 and 18719007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505902 + ... + 505938.

Almost surely, 218719040 is an apocalyptic number.

18719040 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 18719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357312).

18719040 is an abundant number, since it is smaller than the sum of its proper divisors (47995584).

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

18719040 is a wasteful number, since it uses less digits than its factorization.

18719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 18719040 is about 4326.5505890952. The cubic root of 18719040 is about 265.5183399221.

The spelling of 18719040 in words is "eighteen million, seven hundred nineteen thousand, forty".