Search a number
-
+
18252540 = 2234519593
BaseRepresentation
bin100010110100…
…0001011111100
31021100022210000
41011220023330
514133040130
61451114300
7311100255
oct105501374
937308700
1018252540
11a337449
126142990
133a20c27
1425d1b2c
151908260
hex11682fc

18252540 has 120 divisors (see below), whose sum is σ = 60374160. Its totient is φ = 4603392.

The previous prime is 18252539. The next prime is 18252541. The reversal of 18252540 is 4525281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18252539) and next prime (18252541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18252541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30484 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 218252540 is an apocalyptic number.

18252540 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 18252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30187080).

18252540 is an abundant number, since it is smaller than the sum of its proper divisors (42121620).

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

18252540 is a wasteful number, since it uses less digits than its factorization.

18252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 18252540 is about 4272.2991468295. The cubic root of 18252540 is about 263.2940851973.

The spelling of 18252540 in words is "eighteen million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 593 684 810 855 1026 1140 1186 1539 1620 1710 1779 2052 2372 2565 2965 3078 3420 3558 5130 5337 5930 6156 7116 7695 8895 10260 10674 11267 11860 15390 16011 17790 21348 22534 26685 30780 32022 33801 35580 45068 48033 53370 56335 64044 67602 80055 96066 101403 106740 112670 135204 160110 169005 192132 202806 225340 240165 304209 320220 338010 405612 480330 507015 608418 676020 912627 960660 1014030 1216836 1521045 1825254 2028060 3042090 3650508 4563135 6084180 9126270 18252540