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18134496 = 2533139151
BaseRepresentation
bin100010100101…
…1010111100000
31021010022212000
41011023113200
514120300441
61444404000
7310066152
oct105132740
937108760
1018134496
11a266796
1260a6600
1339ac293
1425a0ad2
1518d32b6
hex114b5e0

18134496 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 5961600.

The previous prime is 18134491. The next prime is 18134503. The reversal of 18134496 is 69443181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18134496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18134491) by changing a digit.

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, 120021 + ... + 120171.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 218134496 is an apocalyptic number.

18134496 is a gapful number since it is divisible by the number (16) 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 18134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

18134496 is an abundant number, since it is smaller than the sum of its proper divisors (35491104).

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

18134496 is a wasteful number, since it uses less digits than its factorization.

18134496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 18134496 is about 4258.4616940863. The cubic root of 18134496 is about 262.7252597033.

The spelling of 18134496 in words is "eighteen million, one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 151 216 278 288 302 417 432 453 556 604 834 864 906 1112 1208 1251 1359 1668 1812 2224 2416 2502 2718 3336 3624 3753 4077 4448 4832 5004 5436 6672 7248 7506 8154 10008 10872 13344 14496 15012 16308 20016 20989 21744 30024 32616 40032 41978 43488 60048 62967 65232 83956 120096 125934 130464 167912 188901 251868 335824 377802 503736 566703 671648 755604 1007472 1133406 1511208 2014944 2266812 3022416 4533624 6044832 9067248 18134496