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2014132032 = 263211317887
BaseRepresentation
bin111100000001101…
…0011011101000000
312012100221111201200
41320003103131000
513111104211112
6531505501200
7100624561023
oct17003233500
95170844650
102014132032
11943a1a230
12482641800
13261384903
141516d71ba
15bbc54cdc
hex780d3740

2014132032 has 84 divisors (see below), whose sum is σ = 6297997056. Its totient is φ = 610341120.

The previous prime is 2014132009. The next prime is 2014132049. The reversal of 2014132032 is 2302314102.

2014132032 is a `hidden beast` number, since 201 + 413 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2014131996 and 2014132014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152608 + ... + 165279.

Almost surely, 22014132032 is an apocalyptic number.

2014132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2014132032 is an abundant number, since it is smaller than the sum of its proper divisors (4283865024).

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

2014132032 is a wasteful number, since it uses less digits than its factorization.

2014132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317916 (or 317903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2014132032 is about 44879.0823435596. The cubic root of 2014132032 is about 1262.8816284065.

Adding to 2014132032 its reverse (2302314102), we get a palindrome (4316446134).

The spelling of 2014132032 in words is "two billion, fourteen million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 317887 635774 953661 1271548 1907322 2543096 2860983 3496757 3814644 5086192 5721966 6993514 7629288 10172384 10490271 11443932 13987028 15258576 20344768 20980542 22887864 27974056 30517152 31470813 41961084 45775728 55948112 61034304 62941626 83922168 91551456 111896224 125883252 167844336 183102912 223792448 251766504 335688672 503533008 671377344 1007066016 2014132032