Search a number
-
+
32013000320 = 27577145759
BaseRepresentation
bin11101110100000111…
…111001111010000000
310001122001002220200112
4131310013321322000
51011030312002240
622412341410452
72212212004310
oct356407717200
9101561086615
1032013000320
111263855aa64
126255109a28
133032441852
141799929440
15c75708665
hex7741f9e80

32013000320 has 64 divisors (see below), whose sum is σ = 87464102400. Its totient is φ = 10975884288.

The previous prime is 32013000319. The next prime is 32013000329. The reversal of 32013000320 is 2300031023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 32013000295 and 32013000304.

It is not an unprimeable number, because it can be changed into a prime (32013000329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3568400 + ... + 3577359.

It is an arithmetic number, because the mean of its divisors is an integer number (1366626600).

Almost surely, 232013000320 is an apocalyptic number.

It is an amenable number.

32013000320 is an abundant number, since it is smaller than the sum of its proper divisors (55451102080).

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

32013000320 is an equidigital number, since it uses as much as digits as its factorization.

32013000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145785 (or 7145773 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 32013000320 its reverse (2300031023), we get a palindrome (34313031343).

The spelling of 32013000320 in words is "thirty-two billion, thirteen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 7145759 14291518 28583036 35728795 50020313 57166072 71457590 100040626 114332144 142915180 200081252 228664288 250101565 285830360 400162504 457328576 500203130 571660720 800325008 914657152 1000406260 1143321440 1600650016 2000812520 2286642880 3201300032 4001625040 4573285760 6402600064 8003250080 16006500160 32013000320