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18319840 = 2557111487
BaseRepresentation
bin100010111100…
…0100111100000
31021110202002121
41011320213200
514142213330
61452354024
7311500420
oct105704740
937422077
1018319840
11a382a70
126175914
133a45756
14260c480
15191d17a
hex11789e0

18319840 has 96 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 5706240.

The previous prime is 18319837. The next prime is 18319901. The reversal of 18319840 is 4891381.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18319796 and 18319805.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11577 + ... + 13063.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 218319840 is an apocalyptic number.

18319840 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 18319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

18319840 is an abundant number, since it is smaller than the sum of its proper divisors (35676704).

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

18319840 is a wasteful number, since it uses less digits than its factorization.

18319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 18319840 is about 4280.1682209932. The cubic root of 18319840 is about 263.6172905886.

The spelling of 18319840 in words is "eighteen million, three hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1487 1540 1760 2464 2974 3080 5948 6160 7435 10409 11896 12320 14870 16357 20818 23792 29740 32714 41636 47584 52045 59480 65428 81785 83272 104090 114499 118960 130856 163570 166544 208180 228998 237920 261712 327140 333088 416360 457996 523424 572495 654280 832720 915992 1144990 1308560 1665440 1831984 2289980 2617120 3663968 4579960 9159920 18319840