Search a number
-
+
18845136 = 243537131
BaseRepresentation
bin100011111100…
…0110111010000
31022110102200000
41013320313100
514311021021
61511530000
7316116042
oct107706720
938412600
1018845136
11a7016a2
126389900
133b9a88b
142707a92
1519c3b26
hex11f8dd0

18845136 has 120 divisors (see below), whose sum is σ = 56600544. Its totient is φ = 6065280.

The previous prime is 18845111. The next prime is 18845147. The reversal of 18845136 is 63154881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18845136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143791 + ... + 143921.

Almost surely, 218845136 is an apocalyptic number.

18845136 is a gapful number since it is divisible by the number (16) 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 18845136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300272).

18845136 is an abundant number, since it is smaller than the sum of its proper divisors (37755408).

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

18845136 is a wasteful number, since it uses less digits than its factorization.

18845136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 18845136 is about 4341.0984784960. The cubic root of 18845136 is about 266.1132048726.

It can be divided in two parts, 18845 and 136, that added together give a palindrome (18981).

The spelling of 18845136 in words is "eighteen million, eight hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 131 144 148 162 216 222 243 262 296 324 333 393 432 444 486 524 592 648 666 786 888 972 999 1048 1179 1296 1332 1572 1776 1944 1998 2096 2358 2664 2997 3144 3537 3888 3996 4716 4847 5328 5994 6288 7074 7992 8991 9432 9694 10611 11988 14148 14541 15984 17982 18864 19388 21222 23976 28296 29082 31833 35964 38776 42444 43623 47952 56592 58164 63666 71928 77552 84888 87246 116328 127332 130869 143856 169776 174492 232656 254664 261738 348984 392607 509328 523476 697968 785214 1046952 1177821 1570428 2093904 2355642 3140856 4711284 6281712 9422568 18845136