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18466140 = 22357211571
BaseRepresentation
bin100011001110…
…0010101011100
31021202011210010
41012130111130
514211404030
61455443220
7312650100
oct106342534
937664703
1018466140
11a472980
126226510
133a97214
142649900
15194b6b0
hex119c55c

18466140 has 144 divisors (see below), whose sum is σ = 65729664. Its totient is φ = 3830400.

The previous prime is 18466139. The next prime is 18466141. The reversal of 18466140 is 4166481.

It is an interprime number because it is at equal distance from previous prime (18466139) and next prime (18466141).

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 = 18466098 and 18466107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18466141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32055 + ... + 32625.

It is an arithmetic number, because the mean of its divisors is an integer number (456456).

Almost surely, 218466140 is an apocalyptic number.

18466140 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 18466140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864832).

18466140 is an abundant number, since it is smaller than the sum of its proper divisors (47263524).

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

18466140 is a wasteful number, since it uses less digits than its factorization.

18466140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 599 counting only the distinct ones).

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

The square root of 18466140 is about 4297.2246857710. The cubic root of 18466140 is about 264.3171693056.

The spelling of 18466140 in words is "eighteen million, four hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 571 588 660 735 770 924 980 1078 1142 1155 1470 1540 1617 1713 2156 2284 2310 2695 2855 2940 3234 3426 3997 4620 5390 5710 6281 6468 6852 7994 8085 8565 10780 11420 11991 12562 15988 16170 17130 18843 19985 23982 25124 27979 31405 32340 34260 37686 39970 43967 47964 55958 59955 62810 75372 79940 83937 87934 94215 111916 119910 125620 131901 139895 167874 175868 188430 219835 239820 263802 279790 307769 335748 376860 419685 439670 527604 559580 615538 659505 839370 879340 923307 1231076 1319010 1538845 1678740 1846614 2638020 3077690 3693228 4616535 6155380 9233070 18466140