Search a number
-
+
12161900 = 22521937173
BaseRepresentation
bin101110011001…
…001101101100
3211212212222202
4232121031230
511103140100
61112401032
7205242302
oct56311554
924785882
1012161900
116957463
1240a6178
13269a8ba
141888272
1511037d5
hexb9936c

12161900 has 72 divisors (see below), whose sum is σ = 28696080. Its totient is φ = 4458240.

The previous prime is 12161899. The next prime is 12161911. The reversal of 12161900 is 916121.

It is a super-2 number, since 2×121619002 = 295823623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 70214 + ... + 70386.

Almost surely, 212161900 is an apocalyptic number.

12161900 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 12161900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348040).

12161900 is an abundant number, since it is smaller than the sum of its proper divisors (16534180).

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

12161900 is a wasteful number, since it uses less digits than its factorization.

12161900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 12161900 is about 3487.3915753755. The cubic root of 12161900 is about 229.9678594030.

It can be divided in two parts, 1216 and 1900, that multiplied together give a square (2310400 = 15202).

The spelling of 12161900 in words is "twelve million, one hundred sixty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 173 185 190 346 370 380 475 692 703 740 865 925 950 1406 1730 1850 1900 2812 3287 3460 3515 3700 4325 6401 6574 7030 8650 12802 13148 14060 16435 17300 17575 25604 32005 32870 35150 64010 65740 70300 82175 121619 128020 160025 164350 243238 320050 328700 486476 608095 640100 1216190 2432380 3040475 6080950 12161900