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2099772 = 2232174773
BaseRepresentation
bin1000000000101000111100
310221200100100
420000220330
51014143042
6113001100
723563533
oct10005074
93850310
102099772
111204654
12853190
1358698c
143c931a
152b724c
hex200a3c

2099772 has 72 divisors (see below), whose sum is σ = 5818176. Its totient is φ = 635904.

The previous prime is 2099771. The next prime is 2099809. The reversal of 2099772 is 2779902.

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 23 + 0 + 92 + 92 + 72 + 74 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28728 + ... + 28800.

It is an arithmetic number, because the mean of its divisors is an integer number (80808).

22099772 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 2099772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909088).

2099772 is an abundant number, since it is smaller than the sum of its proper divisors (3718404).

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

2099772 is a wasteful number, since it uses less digits than its factorization.

2099772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2099772 is about 1449.0590050098. The cubic root of 2099772 is about 128.0532818540.

The spelling of 2099772 in words is "two million, ninety-nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 73 94 102 141 146 153 188 204 219 282 292 306 423 438 564 612 657 799 846 876 1241 1314 1598 1692 2397 2482 2628 3196 3431 3723 4794 4964 6862 7191 7446 9588 10293 11169 13724 14382 14892 20586 22338 28764 30879 41172 44676 58327 61758 116654 123516 174981 233308 349962 524943 699924 1049886 2099772