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18320640 = 283513367
BaseRepresentation
bin100010111100…
…0110100000000
31021110210012020
41011320310000
514142230030
61452401440
7311502642
oct105706400
937423166
1018320640
11a383628
126176280
133a45c20
14260c892
15191d510
hex1178d00

18320640 has 144 divisors (see below), whose sum is σ = 63184128. Its totient is φ = 4497408.

The previous prime is 18320633. The next prime is 18320651. The reversal of 18320640 is 4602381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18320640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49737 + ... + 50103.

Almost surely, 218320640 is an apocalyptic number.

18320640 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 18320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31592064).

18320640 is an abundant number, since it is smaller than the sum of its proper divisors (44863488).

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

18320640 is a wasteful number, since it uses less digits than its factorization.

18320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 18320640 is about 4280.2616742438. The cubic root of 18320640 is about 263.6211277903.

The spelling of 18320640 in words is "eighteen million, three hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 367 384 390 416 480 520 624 640 734 768 780 832 960 1040 1101 1248 1280 1468 1560 1664 1835 1920 2080 2202 2496 2936 3120 3328 3670 3840 4160 4404 4771 4992 5505 5872 6240 7340 8320 8808 9542 9984 11010 11744 12480 14313 14680 16640 17616 19084 22020 23488 23855 24960 28626 29360 35232 38168 44040 46976 47710 49920 57252 58720 70464 71565 76336 88080 93952 95420 114504 117440 140928 143130 152672 176160 190840 229008 234880 281856 286260 305344 352320 381680 458016 469760 572520 610688 704640 763360 916032 1145040 1221376 1409280 1526720 1832064 2290080 3053440 3664128 4580160 6106880 9160320 18320640