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1032021020 = 225378811583
BaseRepresentation
bin111101100000110…
…110010000011100
32122220221002200202
4331200312100130
54103144133040
6250223443032
734401014432
oct7540662034
92586832622
101032021020
1148a604738
12249756478
13135a6c034
149b0c4d52
1560909015
hex3d83641c

1032021020 has 48 divisors (see below), whose sum is σ = 2229752448. Its totient is φ = 400942080.

The previous prime is 1032021007. The next prime is 1032021041. The reversal of 1032021020 is 201202301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1032020992 and 1032021010.

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, 651149 + ... + 652731.

It is an arithmetic number, because the mean of its divisors is an integer number (46453176).

Almost surely, 21032021020 is an apocalyptic number.

1032021020 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 1032021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114876224).

1032021020 is an abundant number, since it is smaller than the sum of its proper divisors (1197731428).

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

1032021020 is a wasteful number, since it uses less digits than its factorization.

1032021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1032021020 is about 32125.0839687619. The cubic root of 1032021020 is about 1010.5617304621.

Adding to 1032021020 its reverse (201202301), we get a palindrome (1233223321).

The spelling of 1032021020 in words is "one billion, thirty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 881 1583 1762 3166 3524 4405 6332 7915 8810 15830 17620 31660 32597 58571 65194 117142 130388 162985 234284 292855 325970 585710 651940 1171420 1394623 2789246 5578492 6973115 13946230 27892460 51601051 103202102 206404204 258005255 516010510 1032021020