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18714280 = 23513172973
BaseRepresentation
bin100011101100…
…0111010101000
31022012210011111
41013120322220
514242324110
61505040104
7315032404
oct107307250
938183144
1018714280
11a622352
126326034
133b53150
1426b2104
151999e8a
hex11d8ea8

18714280 has 128 divisors (see below), whose sum is σ = 50349600. Its totient is φ = 6193152.

The previous prime is 18714257. The next prime is 18714281. The reversal of 18714280 is 8241781.

It can be written as a sum of positive squares in 16 ways, for example, as 1855044 + 16859236 = 1362^2 + 4106^2 .

It is not an unprimeable number, because it can be changed into a prime (18714281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256324 + ... + 256396.

It is a vampire number, since it can be written as 21178840 (with its own digits).

Almost surely, 218714280 is an apocalyptic number.

18714280 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 18714280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25174800).

18714280 is an abundant number, since it is smaller than the sum of its proper divisors (31635320).

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

18714280 is a wasteful number, since it uses less digits than its factorization.

18714280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 18714280 is about 4326.0004623208. Note that the first 3 decimals coincide. The cubic root of 18714280 is about 265.4958321005.

The spelling of 18714280 in words is "eighteen million, seven hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 29 34 40 52 58 65 68 73 85 104 116 130 136 145 146 170 221 232 260 290 292 340 365 377 442 493 520 580 584 680 730 754 884 949 986 1105 1160 1241 1460 1508 1768 1885 1898 1972 2117 2210 2465 2482 2920 3016 3770 3796 3944 4234 4420 4745 4930 4964 6205 6409 7540 7592 8468 8840 9490 9860 9928 10585 12410 12818 15080 16133 16936 18980 19720 21170 24820 25636 27521 32045 32266 35989 37960 42340 49640 51272 55042 64090 64532 71978 80665 84680 110084 128180 129064 137605 143956 161330 179945 220168 256360 275210 287912 322660 359890 467857 550420 645320 719780 935714 1100840 1439560 1871428 2339285 3742856 4678570 9357140 18714280