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2080032 = 25347461
BaseRepresentation
bin111111011110100100000
310220200021020
413323310200
51013030112
6112325440
723452143
oct7736440
93820236
102080032
1111a0839
12843880
1357a9b6
143c205a
152b148c
hex1fbd20

2080032 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 677120.

The previous prime is 2080027. The next prime is 2080049. The reversal of 2080032 is 2300802.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2079993 and 2080020.

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, 4282 + ... + 4742.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22080032 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 2080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2080032 is an abundant number, since it is smaller than the sum of its proper divisors (3508320).

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

2080032 is a wasteful number, since it uses less digits than its factorization.

2080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2080032 is about 1442.2316041469. The cubic root of 2080032 is about 127.6507405897.

Adding to 2080032 its reverse (2300802), we get a palindrome (4380834).

The spelling of 2080032 in words is "two million, eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 461 564 752 922 1128 1383 1504 1844 2256 2766 3688 4512 5532 7376 11064 14752 21667 22128 43334 44256 65001 86668 130002 173336 260004 346672 520008 693344 1040016 2080032