Search a number
-
+
3201240020 = 2251133143961
BaseRepresentation
bin1011111011001111…
…0000101111010100
322021002200211202012
42332303300233110
523024004140040
61245353403352
7142221043166
oct27663605724
98232624665
103201240020
1113a3020010
12754109558
133c02b4084
1422522c936
1513b095865
hexbecf0bd4

3201240020 has 48 divisors (see below), whose sum is σ = 7356073536. Its totient is φ = 1160544000.

The previous prime is 3201240013. The next prime is 3201240041. The reversal of 3201240020 is 200421023.

It is a junction number, because it is equal to n+sod(n) for n = 3201239977 and 3201240004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50840 + ... + 94800.

It is an arithmetic number, because the mean of its divisors is an integer number (153251532).

Almost surely, 23201240020 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 3201240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678036768).

3201240020 is an abundant number, since it is smaller than the sum of its proper divisors (4154833516).

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

3201240020 is a wasteful number, since it uses less digits than its factorization.

3201240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44312 (or 44310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3201240020 is about 56579.5017652153. The cubic root of 3201240020 is about 1473.8029195723.

Adding to 3201240020 its reverse (200421023), we get a palindrome (3401661043).

It can be divided in two parts, 320 and 1240020, that multiplied together give a square (396806400 = 199202).

The spelling of 3201240020 in words is "three billion, two hundred one million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 18205 36410 43961 72820 87922 175844 219805 439610 483571 879220 967142 1934284 2417855 4835710 9671420 14551091 29102182 58204364 72755455 145510910 160062001 291021820 320124002 640248004 800310005 1600620010 3201240020