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1032040020 = 2235112695813
BaseRepresentation
bin111101100000111…
…010111001010100
32122220222001202110
4331200322321110
54103200240040
6250224111020
734401124014
oct7540727124
92586861673
101032040020
1148a617a40
12249765470
13135a7788b
149b0cbc44
156090e980
hex3d83ae54

1032040020 has 96 divisors (see below), whose sum is σ = 3164676480. Its totient is φ = 249218560.

The previous prime is 1032039991. The next prime is 1032040039. The reversal of 1032040020 is 200402301.

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 = 1032039978 and 1032040005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174634 + ... + 180446.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380).

Almost surely, 21032040020 is an apocalyptic number.

1032040020 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 1032040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582338240).

1032040020 is an abundant number, since it is smaller than the sum of its proper divisors (2132636460).

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

1032040020 is a wasteful number, since it uses less digits than its factorization.

1032040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1032040020 is about 32125.3796864722. The cubic root of 1032040020 is about 1010.5679320655.

Adding to 1032040020 its reverse (200402301), we get a palindrome (1232442321).

The spelling of 1032040020 in words is "one billion, thirty-two million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 807 1076 1345 1614 2690 2959 3228 4035 5380 5813 5918 8070 8877 11626 11836 14795 16140 17439 17754 23252 29065 29590 34878 35508 44385 58130 59180 63943 69756 87195 88770 116260 127886 174390 177540 191829 255772 319715 348780 383658 639430 767316 959145 1278860 1563697 1918290 3127394 3836580 4691091 6254788 7818485 9382182 15636970 17200667 18764364 23455455 31273940 34401334 46910910 51602001 68802668 86003335 93821820 103204002 172006670 206408004 258010005 344013340 516020010 1032040020