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2095072 = 25747199
BaseRepresentation
bin111111111011111100000
310221102220021
413333133200
51014020242
6112523224
723544040
oct7773740
93842807
102095072
111201071
12850514
135847b5
143c7720
152b5b67
hex1ff7e0

2095072 has 48 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 874368.

The previous prime is 2095061. The next prime is 2095081. The reversal of 2095072 is 2705902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10429 + ... + 10627.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22095072 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 2095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2095072 is an abundant number, since it is smaller than the sum of its proper divisors (2743328).

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

2095072 is a wasteful number, since it uses less digits than its factorization.

2095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2095072 is about 1447.4363543866. The cubic root of 2095072 is about 127.9576682934.

The spelling of 2095072 in words is "two million, ninety-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 199 224 329 376 398 658 752 796 1316 1393 1504 1592 2632 2786 3184 5264 5572 6368 9353 10528 11144 18706 22288 37412 44576 65471 74824 130942 149648 261884 299296 523768 1047536 2095072