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18680340 = 2235779563
BaseRepresentation
bin100011101000…
…0101000010100
31022011001121110
41013100220110
514240232330
61504215020
7314531430
oct107205024
938131543
1018680340
11a5a98a8
12630a470
133b40873
1426a39c0
15198edb0
hex11d0a14

18680340 has 96 divisors (see below), whose sum is σ = 60641280. Its totient is φ = 4208256.

The previous prime is 18680323. The next prime is 18680351. The reversal of 18680340 is 4308681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18680298 and 18680307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32899 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (631680).

Almost surely, 218680340 is an apocalyptic number.

18680340 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 18680340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30320640).

18680340 is an abundant number, since it is smaller than the sum of its proper divisors (41960940).

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

18680340 is a wasteful number, since it uses less digits than its factorization.

18680340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18680340 is about 4322.0758901250. The cubic root of 18680340 is about 265.3352349271.

The spelling of 18680340 in words is "eighteen million, six hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 563 790 948 1106 1126 1185 1580 1659 1689 2212 2252 2370 2765 2815 3318 3378 3941 4740 5530 5630 6636 6756 7882 8295 8445 11060 11260 11823 15764 16590 16890 19705 23646 33180 33780 39410 44477 47292 59115 78820 88954 118230 133431 177908 222385 236460 266862 311339 444770 533724 622678 667155 889540 934017 1245356 1334310 1556695 1868034 2668620 3113390 3736068 4670085 6226780 9340170 18680340