Search a number
-
+
18342072 = 2333721733
BaseRepresentation
bin100010111111…
…0000010111000
31021111212121000
41011332002320
514143421242
61453045000
7311622300
oct105760270
937455530
1018342072
11a398741
126186760
133a528c8
142616600
151924a4c
hex117e0b8

18342072 has 96 divisors (see below), whose sum is σ = 59302800. Its totient is φ = 5237568.

The previous prime is 18342061. The next prime is 18342101. The reversal of 18342072 is 27024381.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9718 + ... + 11450.

Almost surely, 218342072 is an apocalyptic number.

18342072 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 18342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29651400).

18342072 is an abundant number, since it is smaller than the sum of its proper divisors (40960728).

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

18342072 is a wasteful number, since it uses less digits than its factorization.

18342072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18342072 is about 4282.7645277321. The cubic root of 18342072 is about 263.7238848682.

The spelling of 18342072 in words is "eighteen million, three hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1733 1764 2646 3466 3528 5199 5292 6932 10398 10584 12131 13864 15597 20796 24262 31194 36393 41592 46791 48524 62388 72786 84917 93582 97048 109179 124776 145572 169834 187164 218358 254751 291144 327537 339668 374328 436716 509502 655074 679336 764253 873432 1019004 1310148 1528506 2038008 2292759 2620296 3057012 4585518 6114024 9171036 18342072