Search a number
-
+
18146072 = 237317389
BaseRepresentation
bin100010100111…
…0001100011000
31021010220201202
41011032030120
514121133242
61444533332
7310145000
oct105161430
937126652
1018146072
11a27445a
1260b1248
1339b4629
1425a5000
1518d6932
hex114e318

18146072 has 64 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 7300608.

The previous prime is 18146071. The next prime is 18146101. The reversal of 18146072 is 27064181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18146071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46454 + ... + 46842.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 218146072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18146072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

18146072 is an abundant number, since it is smaller than the sum of its proper divisors (23973928).

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

18146072 is a wasteful number, since it uses less digits than its factorization.

18146072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 18146072 is about 4259.8206535017. The cubic root of 18146072 is about 262.7811506180.

The spelling of 18146072 in words is "eighteen million, one hundred forty-six thousand, seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 343 389 392 476 686 778 833 952 1372 1556 1666 2723 2744 3112 3332 5446 5831 6613 6664 10892 11662 13226 19061 21784 23324 26452 38122 46291 46648 52904 76244 92582 133427 152488 185164 266854 324037 370328 533708 648074 1067416 1296148 2268259 2592296 4536518 9073036 18146072