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18379840 = 265193023
BaseRepresentation
bin100011000011…
…1010001000000
31021120210101211
41012013101000
514201123330
61453535504
7312140353
oct106072100
937523354
1018379840
11a414056
1261a4594
133a66b5b
14262629a
151930d2a
hex1187440

18379840 has 56 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 6962688.

The previous prime is 18379819. The next prime is 18379843. The reversal of 18379840 is 4897381.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18379793 and 18379802.

It is not an unprimeable number, because it can be changed into a prime (18379843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4569 + ... + 7591.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 218379840 is an apocalyptic number.

18379840 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 18379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

18379840 is an abundant number, since it is smaller than the sum of its proper divisors (27705920).

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

18379840 is a wasteful number, since it uses less digits than its factorization.

18379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 18379840 is about 4287.1715617642. The cubic root of 18379840 is about 263.9047712858.

The spelling of 18379840 in words is "eighteen million, three hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3023 3040 6046 6080 12092 15115 24184 30230 48368 57437 60460 96736 114874 120920 193472 229748 241840 287185 459496 483680 574370 918992 967360 1148740 1837984 2297480 3675968 4594960 9189920 18379840