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18313320 = 23351011511
BaseRepresentation
bin100010111011…
…1000001101000
31021110102011010
41011313001220
514142011240
61452303520
7311442414
oct105670150
937412133
1018313320
11a379083
126171ba0
133a427ac
142609d44
15191b280
hex1177068

18313320 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 4832000.

The previous prime is 18313307. The next prime is 18313327. The reversal of 18313320 is 2331381.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18313327) 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, 11365 + ... + 12875.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 218313320 is an apocalyptic number.

18313320 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 18313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

18313320 is an abundant number, since it is smaller than the sum of its proper divisors (37207320).

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

18313320 is a wasteful number, since it uses less digits than its factorization.

18313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 18313320 is about 4279.4065009064. The cubic root of 18313320 is about 263.5860132289.

It can be divided in two parts, 1831 and 3320, that added together give a triangular number (5151 = T101).

The spelling of 18313320 in words is "eighteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1511 1515 2020 2424 3022 3030 4040 4533 6044 6060 7555 9066 12088 12120 15110 18132 22665 30220 36264 45330 60440 90660 152611 181320 305222 457833 610444 763055 915666 1220888 1526110 1831332 2289165 3052220 3662664 4578330 6104440 9156660 18313320