[go: up one dir, main page]

Search a number
-
+
18072192 = 273192477
BaseRepresentation
bin100010011110…
…0001010000000
31021000011101110
41010330022000
514111302232
61443203320
7306416415
oct104741200
937004343
1018072192
11a2239a6
126076540
133989b08
14258610c
1518beacc
hex113c280

18072192 has 64 divisors (see below), whose sum is σ = 50551200. Its totient is φ = 5704704.

The previous prime is 18072161. The next prime is 18072209. The reversal of 18072192 is 29127081.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 8534.

Almost surely, 218072192 is an apocalyptic number.

18072192 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 18072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275600).

18072192 is an abundant number, since it is smaller than the sum of its proper divisors (32479008).

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

18072192 is a wasteful number, since it uses less digits than its factorization.

18072192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 18072192 is about 4251.1400823779. The cubic root of 18072192 is about 262.4240360691.

The spelling of 18072192 in words is "eighteen million, seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2477 3648 4954 7296 7431 9908 14862 19816 29724 39632 47063 59448 79264 94126 118896 141189 158528 188252 237792 282378 317056 376504 475584 564756 753008 951168 1129512 1506016 2259024 3012032 4518048 6024064 9036096 18072192