Search a number
-
+
12099816 = 23321631031
BaseRepresentation
bin101110001010…
…000011101000
3211202201211100
4232022003220
511044143231
61111201400
7204563301
oct56120350
924681740
1012099816
116914853
124076260
132678571
14186d7a8
1510e01e6
hexb8a0e8

12099816 has 48 divisors (see below), whose sum is σ = 33003360. Its totient is φ = 4004640.

The previous prime is 12099809. The next prime is 12099839. The reversal of 12099816 is 61899021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11221 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (687570).

Almost surely, 212099816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12099816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501680).

12099816 is an abundant number, since it is smaller than the sum of its proper divisors (20903544).

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

12099816 is a wasteful number, since it uses less digits than its factorization.

12099816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12099816 is about 3478.4789779442. The cubic root of 12099816 is about 229.5758787644.

It can be divided in two parts, 1209 and 9816, that added together give a square (11025 = 1052).

The spelling of 12099816 in words is "twelve million, ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1031 1304 1467 1956 2062 2934 3093 3912 4124 5868 6186 8248 9279 11736 12372 18558 24744 37116 74232 168053 336106 504159 672212 1008318 1344424 1512477 2016636 3024954 4033272 6049908 12099816