Search a number
-
+
1001332020 = 2235131283759
BaseRepresentation
bin111011101011110…
…001110100110100
32120210011221022010
4323223301310310
54022320111040
6243210004220
733546116223
oct7353616464
92523157263
101001332020
11474253627
1223b416670
1312c5b5570
1496db6cba
155cd95e80
hex3baf1d34

1001332020 has 48 divisors (see below), whose sum is σ = 3019403520. Its totient is φ = 246481536.

The previous prime is 1001331997. The next prime is 1001332049. The reversal of 1001332020 is 202331001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001331987 and 1001332005.

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, 641100 + ... + 642659.

It is an arithmetic number, because the mean of its divisors is an integer number (62904240).

Almost surely, 21001332020 is an apocalyptic number.

1001332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001332020 is an abundant number, since it is smaller than the sum of its proper divisors (2018071500).

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

1001332020 is a wasteful number, since it uses less digits than its factorization.

1001332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283784 (or 1283782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001332020 is about 31643.8306783487. The cubic root of 1001332020 is about 1000.4438096705.

Adding to 1001332020 its reverse (202331001), we get a palindrome (1203663021).

The spelling of 1001332020 in words is "one billion, one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1283759 2567518 3851277 5135036 6418795 7702554 12837590 15405108 16688867 19256385 25675180 33377734 38512770 50066601 66755468 77025540 83444335 100133202 166888670 200266404 250333005 333777340 500666010 1001332020