Search a number
-
+
18262140 = 22351321801
BaseRepresentation
bin100010110101…
…0100001111100
31021100210221120
41011222201330
514133342030
61451230540
7311140251
oct105524174
937323846
1018262140
11a343686
126148450
133a25400
1425d5428
15190b010
hex116a87c

18262140 has 72 divisors (see below), whose sum is σ = 55400688. Its totient is φ = 4492800.

The previous prime is 18262133. The next prime is 18262147. The reversal of 18262140 is 4126281.

It is an interprime number because it is at equal distance from previous prime (18262133) and next prime (18262147).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18262140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18262147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9240 + ... + 11040.

It is an arithmetic number, because the mean of its divisors is an integer number (769454).

Almost surely, 218262140 is an apocalyptic number.

18262140 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 18262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27700344).

18262140 is an abundant number, since it is smaller than the sum of its proper divisors (37138548).

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

18262140 is a wasteful number, since it uses less digits than its factorization.

18262140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 18262140 is about 4273.4225159701. The cubic root of 18262140 is about 263.3402373165.

The spelling of 18262140 in words is "eighteen million, two hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 1801 2028 2535 3380 3602 5070 5403 7204 9005 10140 10806 18010 21612 23413 27015 36020 46826 54030 70239 93652 108060 117065 140478 234130 280956 304369 351195 468260 608738 702390 913107 1217476 1404780 1521845 1826214 3043690 3652428 4565535 6087380 9131070 18262140