Search a number
-
+
18076938 = 2311793467
BaseRepresentation
bin100010011110…
…1010100001010
31021000101220020
41010331110022
514111430223
61443241310
7306436305
oct104752412
937011806
1018076938
11a227520
126079236
13398c019
142587b3c
1518c11e3
hex113d50a

18076938 has 32 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 5406960.

The previous prime is 18076913. The next prime is 18076963. The reversal of 18076938 is 83967081.

It is an interprime number because it is at equal distance from previous prime (18076913) and next prime (18076963).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18076938.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3481 + ... + 6947.

It is an arithmetic number, because the mean of its divisors is an integer number (1248480).

Almost surely, 218076938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18076938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

18076938 is an abundant number, since it is smaller than the sum of its proper divisors (21874422).

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

18076938 is a wasteful number, since it uses less digits than its factorization.

18076938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 18076938 is about 4251.6982489354. The cubic root of 18076938 is about 262.4470060823.

The spelling of 18076938 in words is "eighteen million, seventy-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 3467 5214 6934 10401 20802 38137 76274 114411 228822 273893 547786 821679 1643358 3012823 6025646 9038469 18076938