Search a number
-
+
18232320 = 210351187
BaseRepresentation
bin100010110001…
…1010000000000
31021022022001010
41011203100000
514131413240
61450440520
7310654311
oct105432000
937268033
1018232320
11a323237
126133140
133a14972
1425c8608
151902280
hex1163400

18232320 has 88 divisors (see below), whose sum is σ = 58364064. Its totient is φ = 4857856.

The previous prime is 18232289. The next prime is 18232327. The reversal of 18232320 is 2323281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18232327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14767 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (663228).

Almost surely, 218232320 is an apocalyptic number.

18232320 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 18232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29182032).

18232320 is an abundant number, since it is smaller than the sum of its proper divisors (40131744).

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

18232320 is a wasteful number, since it uses less digits than its factorization.

18232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 18232320 is about 4269.9320837690. The cubic root of 18232320 is about 263.1968243320.

The spelling of 18232320 in words is "eighteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1187 1280 1536 1920 2374 2560 3072 3561 3840 4748 5120 5935 7122 7680 9496 11870 14244 15360 17805 18992 23740 28488 35610 37984 47480 56976 71220 75968 94960 113952 142440 151936 189920 227904 284880 303872 379840 455808 569760 607744 759680 911616 1139520 1215488 1519360 1823232 2279040 3038720 3646464 4558080 6077440 9116160 18232320