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2099592 = 2332112241
BaseRepresentation
bin1000000000100110001000
310221200002200
420000212020
51014141332
6113000200
723563155
oct10004610
93850080
102099592
111204500
12853060
13586881
143c922c
152b717c
hex200988

2099592 has 72 divisors (see below), whose sum is σ = 6276270. Its totient is φ = 633600.

The previous prime is 2099549. The next prime is 2099593. The reversal of 2099592 is 2959902.

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 527076 = 1254^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 27 + 0 + 93 + 93 + 53 + 93 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2099593) 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 17 ways as a sum of consecutive naturals, for example, 8592 + ... + 8832.

22099592 is an apocalyptic number.

2099592 is a gapful number since it is divisible by the number (22) 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 2099592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138135).

2099592 is an abundant number, since it is smaller than the sum of its proper divisors (4176678).

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

2099592 is a wasteful number, since it uses less digits than its factorization.

2099592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2099592 is about 1448.9968944066. The cubic root of 2099592 is about 128.0496226870.

It can be divided in two parts, 209 and 9592, that added together give a square (9801 = 992).

The spelling of 2099592 in words is "two million, ninety-nine thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 241 242 264 363 396 482 484 723 726 792 964 968 1089 1446 1452 1928 2169 2178 2651 2892 2904 4338 4356 5302 5784 7953 8676 8712 10604 15906 17352 21208 23859 29161 31812 47718 58322 63624 87483 95436 116644 174966 190872 233288 262449 349932 524898 699864 1049796 2099592