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19364080 = 245534567
BaseRepresentation
bin100100111011…
…1100011110000
31100102210112011
41021313203300
514424122310
61531012304
7323410021
oct111674360
940383464
1019364080
11aa2657a
12659a094
13401cb48
142800c48
151a7778a
hex12778f0

19364080 has 40 divisors (see below), whose sum is σ = 45880992. Its totient is φ = 7597824.

The previous prime is 19364069. The next prime is 19364087. The reversal of 19364080 is 8046391.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19364087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 6523.

Almost surely, 219364080 is an apocalyptic number.

19364080 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 19364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940496).

19364080 is an abundant number, since it is smaller than the sum of its proper divisors (26516912).

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

19364080 is a wasteful number, since it uses less digits than its factorization.

19364080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 19364080 is about 4400.4636119391. The cubic root of 19364080 is about 268.5337990782.

The spelling of 19364080 in words is "nineteen million, three hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 4567 9134 18268 22835 36536 45670 73072 91340 182680 242051 365360 484102 968204 1210255 1936408 2420510 3872816 4841020 9682040 19364080