Search a number
-
+
18911232 = 2123519
BaseRepresentation
bin100100000100…
…1000000000000
31022120210100000
41020021000000
514320124412
61513200000
7316512534
oct110110000
938523300
1018911232
11a74731a
126400000
133bc19a2
142723bc4
1519d84dc
hex1209000

18911232 has 156 divisors (see below), whose sum is σ = 59630480. Its totient is φ = 5971968.

The previous prime is 18911231. The next prime is 18911237. The reversal of 18911232 is 23211981.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (864) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18911196 and 18911205.

It is not an unprimeable number, because it can be changed into a prime (18911231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995319 + ... + 995337.

Almost surely, 218911232 is an apocalyptic number.

18911232 is a gapful number since it is divisible by the number (12) 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 18911232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815240).

18911232 is an abundant number, since it is smaller than the sum of its proper divisors (40719248).

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

18911232 is an frugal number, since it uses more digits than its factorization.

18911232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 18911232 is about 4348.7046347160. The cubic root of 18911232 is about 266.4239569398.

The spelling of 18911232 in words is "eighteen million, nine hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 256 288 304 324 342 384 432 456 486 512 513 576 608 648 684 768 864 912 972 1024 1026 1152 1216 1296 1368 1536 1539 1728 1824 1944 2048 2052 2304 2432 2592 2736 3072 3078 3456 3648 3888 4096 4104 4608 4617 4864 5184 5472 6144 6156 6912 7296 7776 8208 9216 9234 9728 10368 10944 12288 12312 13824 14592 15552 16416 18432 18468 19456 20736 21888 24624 27648 29184 31104 32832 36864 36936 38912 41472 43776 49248 55296 58368 62208 65664 73872 77824 82944 87552 98496 110592 116736 124416 131328 147744 165888 175104 196992 233472 248832 262656 295488 331776 350208 393984 497664 525312 590976 700416 787968 995328 1050624 1181952 1575936 2101248 2363904 3151872 4727808 6303744 9455616 18911232