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18932940 = 22345132931
BaseRepresentation
bin100100000111…
…0010011001100
31022121220010000
41020032103030
514321323230
61513444300
7316633035
oct110162314
938556100
1018932940
11a761664
126410690
133bcb830
14272ba8c
1519deb60
hex120e4cc

18932940 has 240 divisors, whose sum is σ = 68302080. Its totient is φ = 4354560.

The previous prime is 18932929. The next prime is 18932959. The reversal of 18932940 is 4923981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18932895 and 18932904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610725 + ... + 610755.

It is an arithmetic number, because the mean of its divisors is an integer number (284592).

Almost surely, 218932940 is an apocalyptic number.

18932940 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 18932940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

18932940 is an abundant number, since it is smaller than the sum of its proper divisors (49369140).

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

18932940 is a wasteful number, since it uses less digits than its factorization.

18932940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 18932940 is about 4351.1998345284. The cubic root of 18932940 is about 266.5258596911.

The spelling of 18932940 in words is "eighteen million, nine hundred thirty-two thousand, nine hundred forty".