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18134900 = 2252723701
BaseRepresentation
bin100010100101…
…1011101110100
31021010100101222
41011023131310
514120304100
61444405512
7310100300
oct105133564
937110358
1018134900
11a267023
1260a6898
1339ac514
1425a0d00
1518d3485
hex114b774

18134900 has 54 divisors (see below), whose sum is σ = 45790038. Its totient is φ = 6216000.

The previous prime is 18134867. The next prime is 18134927. The reversal of 18134900 is 943181.

It can be written as a sum of positive squares in 3 ways, for example, as 729316 + 17405584 = 854^2 + 4172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18134900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3050 + ... + 6750.

Almost surely, 218134900 is an apocalyptic number.

18134900 is a gapful number since it is divisible by the number (10) 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 18134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895019).

18134900 is an abundant number, since it is smaller than the sum of its proper divisors (27655138).

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

18134900 is a wasteful number, since it uses less digits than its factorization.

18134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 18134900 is about 4258.5091287914. The cubic root of 18134900 is about 262.7272106852.

The spelling of 18134900 in words is "eighteen million, one hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 3701 4900 7402 14804 18505 25907 37010 51814 74020 92525 103628 129535 181349 185050 259070 362698 370100 518140 647675 725396 906745 1295350 1813490 2590700 3626980 4533725 9067450 18134900