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186868900 = 225213672
BaseRepresentation
bin10110010001101…
…10010010100100
3111000121220221101
423020312102210
5340314301100
630313125444
74426234201
oct1310662244
9430556841
10186868900
1196534409
12526b9884
132c93a51a
141ab64ca8
151161386a
hexb2364a4

186868900 has 27 divisors (see below), whose sum is σ = 405802369. Its totient is φ = 74692880.

The previous prime is 186868889. The next prime is 186868921. The reversal of 186868900 is 9868681.

The square root of 186868900 is 13670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 67272804 + 119596096 = 8202^2 + 10936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136017 + ... + 137383.

Almost surely, 2186868900 is an apocalyptic number.

186868900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

186868900 is the 13670-th square number.

It is an amenable number.

186868900 is an abundant number, since it is smaller than the sum of its proper divisors (218933469).

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

186868900 is an equidigital number, since it uses as much as digits as its factorization.

186868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The cubic root of 186868900 is about 571.7142402003.

The spelling of 186868900 in words is "one hundred eighty-six million, eight hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1367 2734 5468 6835 13670 27340 34175 68350 136700 1868689 3737378 7474756 9343445 18686890 37373780 46717225 93434450 186868900