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32002014 = 2311677237
BaseRepresentation
bin111101000010…
…0111111011110
32020012212111210
41322010333132
531143031024
63101525250
7536004222
oct172047736
966185453
1032002014
1117078650
12a873826
136826305
144370782
152c22129
hex1e84fde

32002014 has 32 divisors (see below), whose sum is σ = 70874496. Its totient is φ = 9551520.

The previous prime is 32001989. The next prime is 32002021. The reversal of 32002014 is 41020023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804 + ... + 8040.

It is an arithmetic number, because the mean of its divisors is an integer number (2214828).

Almost surely, 232002014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32002014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35437248).

32002014 is an abundant number, since it is smaller than the sum of its proper divisors (38872482).

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

32002014 is a wasteful number, since it uses less digits than its factorization.

32002014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32002014 is about 5657.0322608237. The cubic root of 32002014 is about 317.4868707242.

Adding to 32002014 its reverse (41020023), we get a palindrome (73022037).

Subtracting 32002014 from its reverse (41020023), we obtain a square (9018009 = 30032).

The spelling of 32002014 in words is "thirty-two million, two thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 4422 7237 14474 21711 43422 79607 159214 238821 477642 484879 969758 1454637 2909274 5333669 10667338 16001007 32002014