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2089296 = 2432111319
BaseRepresentation
bin111111110000101010000
310221010222100
413332011100
51013324141
6112440400
723521146
oct7760520
93833870
102089296
1111a77a0
12849100
13581c91
143c5596
152b40b6
hex1fe150

2089296 has 60 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 632640.

The previous prime is 2089273. The next prime is 2089303. The reversal of 2089296 is 6929802.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2089296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

22089296 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 2089296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

2089296 is an abundant number, since it is smaller than the sum of its proper divisors (4294224).

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

2089296 is a wasteful number, since it uses less digits than its factorization.

2089296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1335 counting only the distinct ones).

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

The square root of 2089296 is about 1445.4397254815. The cubic root of 2089296 is about 127.8399692774.

The spelling of 2089296 in words is "two million, eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1319 1584 2638 3957 5276 7914 10552 11871 14509 15828 21104 23742 29018 31656 43527 47484 58036 63312 87054 94968 116072 130581 174108 189936 232144 261162 348216 522324 696432 1044648 2089296