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18736140 = 2235312269
BaseRepresentation
bin100011101111…
…0010000001100
31022020220011010
41013132100030
514244024030
61505325220
7315153213
oct107362014
938226133
1018736140
11a637815
126336810
133b60097
1426ba07a
1519a16b0
hex11de40c

18736140 has 24 divisors (see below), whose sum is σ = 52461360. Its totient is φ = 4996288.

The previous prime is 18736111. The next prime is 18736153. The reversal of 18736140 is 4163781.

It is a happy number.

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 = 18736098 and 18736107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 156075 + ... + 156194.

It is an arithmetic number, because the mean of its divisors is an integer number (2185890).

Almost surely, 218736140 is an apocalyptic number.

18736140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18736140 is an abundant number, since it is smaller than the sum of its proper divisors (33725220).

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

18736140 is a wasteful number, since it uses less digits than its factorization.

18736140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312281 (or 312279 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 18736140 is about 4328.5263081100. The cubic root of 18736140 is about 265.5991663919.

The spelling of 18736140 in words is "eighteen million, seven hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 312269 624538 936807 1249076 1561345 1873614 3122690 3747228 4684035 6245380 9368070 18736140