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2089632 = 25321767
BaseRepresentation
bin111111110001010100000
310221011102210
413332022200
51013332012
6112442120
723522136
oct7761240
93834383
102089632
1111a7a76
12849340
1358218c
143c5756
152b423c
hex1fe2a0

2089632 has 24 divisors (see below), whose sum is σ = 5485536. Its totient is φ = 696512.

The previous prime is 2089627. The next prime is 2089643. The reversal of 2089632 is 2369802.

2089632 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2089632.

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 3 ways as a sum of consecutive naturals, for example, 10788 + ... + 10979.

It is an arithmetic number, because the mean of its divisors is an integer number (228564).

22089632 is an apocalyptic number.

It is an amenable number.

2089632 is an abundant number, since it is smaller than the sum of its proper divisors (3395904).

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

2089632 is a wasteful number, since it uses less digits than its factorization.

2089632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21780 (or 21772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2089632 is about 1445.5559484157. Note that the first 3 decimals coincide. The cubic root of 2089632 is about 127.8468219728.

The spelling of 2089632 in words is "two million, eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 21767 43534 65301 87068 130602 174136 261204 348272 522408 696544 1044816 2089632