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2068992 = 2932449
BaseRepresentation
bin111111001001000000000
310220010010100
413321020000
51012201432
6112202400
723405022
oct7711000
93803110
102068992
111193512
12839400
13575973
143bc012
152ad07c
hex1f9200

2068992 has 60 divisors (see below), whose sum is σ = 5984550. Its totient is φ = 688128.

The previous prime is 2068991. The next prime is 2068999. The reversal of 2068992 is 2998602.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 389376 = 1296^2 + 624^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2068991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4384 + ... + 4832.

22068992 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 2068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992275).

2068992 is an abundant number, since it is smaller than the sum of its proper divisors (3915558).

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

2068992 is an equidigital number, since it uses as much as digits as its factorization.

2068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2068992 is about 1438.3991101221. The cubic root of 2068992 is about 127.4244997066.

The spelling of 2068992 in words is "two million, sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 449 512 576 768 898 1152 1347 1536 1796 2304 2694 3592 4041 4608 5388 7184 8082 10776 14368 16164 21552 28736 32328 43104 57472 64656 86208 114944 129312 172416 229888 258624 344832 517248 689664 1034496 2068992