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18472080 = 2435116997
BaseRepresentation
bin100011001110…
…1110010010000
31021202110221010
41012131302100
514212101310
61455530520
7313003314
oct106356220
937673833
1018472080
11a477390
126229a40
133a99b33
14264bb44
15194d320
hex119dc90

18472080 has 80 divisors (see below), whose sum is σ = 62478144. Its totient is φ = 4477440.

The previous prime is 18472061. The next prime is 18472087. The reversal of 18472080 is 8027481.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (18472087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859 + ... + 6138.

Almost surely, 218472080 is an apocalyptic number.

18472080 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 18472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31239072).

18472080 is an abundant number, since it is smaller than the sum of its proper divisors (44006064).

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

18472080 is a wasteful number, since it uses less digits than its factorization.

18472080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 18472080 is about 4297.9157739537. The cubic root of 18472080 is about 264.3455072198.

The spelling of 18472080 in words is "eighteen million, four hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6997 13994 20991 27988 34985 41982 55976 69970 76967 83964 104955 111952 139940 153934 167928 209910 230901 279880 307868 335856 384835 419820 461802 559760 615736 769670 839640 923604 1154505 1231472 1539340 1679280 1847208 2309010 3078680 3694416 4618020 6157360 9236040 18472080