Search a number
-
+
2099340 = 22325107109
BaseRepresentation
bin1000000000100010001100
310221122202100
420000202030
51014134330
6112555100
723562345
oct10004214
93848670
102099340
1112042a1
12852a90
13586719
143c90cc
152b7060
hex20088c

2099340 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 549504.

The previous prime is 2099327. The next prime is 2099341. The reversal of 2099340 is 439902.

It is not an unprimeable number, because it can be changed into a prime (2099341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19206 + ... + 19314.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

22099340 is an apocalyptic number.

2099340 is a gapful number since it is divisible by the number (20) 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 2099340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2099340 is an abundant number, since it is smaller than the sum of its proper divisors (4387140).

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

2099340 is a wasteful number, since it uses less digits than its factorization.

2099340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2099340 is about 1448.9099350891. The cubic root of 2099340 is about 128.0444995018.

The spelling of 2099340 in words is "two million, ninety-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 109 180 214 218 321 327 428 436 535 545 642 654 963 981 1070 1090 1284 1308 1605 1635 1926 1962 2140 2180 3210 3270 3852 3924 4815 4905 6420 6540 9630 9810 11663 19260 19620 23326 34989 46652 58315 69978 104967 116630 139956 174945 209934 233260 349890 419868 524835 699780 1049670 2099340