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1023332020 = 2251925110729
BaseRepresentation
bin111100111111101…
…100111010110100
32122022120122121221
4330333230322310
54043433111040
6245313320124
734234115164
oct7477547264
92568518557
101023332020
1148570a547
12246866044
13134019109
1499ca25a4
155ec8e74a
hex3cfeceb4

1023332020 has 48 divisors (see below), whose sum is σ = 2271326400. Its totient is φ = 386208000.

The previous prime is 1023331999. The next prime is 1023332021. The reversal of 1023332020 is 202333201.

It is a junction number, because it is equal to n+sod(n) for n = 1023331985 and 1023332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023332021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90016 + ... + 100744.

It is an arithmetic number, because the mean of its divisors is an integer number (47319300).

Almost surely, 21023332020 is an apocalyptic number.

1023332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135663200).

1023332020 is an abundant number, since it is smaller than the sum of its proper divisors (1247994380).

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

1023332020 is a wasteful number, since it uses less digits than its factorization.

1023332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1023332020 is about 31989.5611098371. The cubic root of 1023332020 is about 1007.7176250387.

Adding to 1023332020 its reverse (202333201), we get a palindrome (1225665221).

The spelling of 1023332020 in words is "one billion, twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 251 380 502 1004 1255 2510 4769 5020 9538 10729 19076 21458 23845 42916 47690 53645 95380 107290 203851 214580 407702 815404 1019255 2038510 2692979 4077020 5385958 10771916 13464895 26929790 51166601 53859580 102333202 204666404 255833005 511666010 1023332020