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1032010020 = 2232547199613
BaseRepresentation
bin111101100000110…
…011100100100100
32122220220112121100
4331200303210210
54103143310040
6250223320100
734400640366
oct7540634444
92586815540
101032010020
1148a5a7448
12249750030
13135a67022
149b0c0d36
1560905b30
hex3d833924

1032010020 has 144 divisors (see below), whose sum is σ = 3218342400. Its totient is φ = 267556608.

The previous prime is 1032010013. The next prime is 1032010033. The reversal of 1032010020 is 200102301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1032009984 and 1032010011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1683234 + ... + 1683846.

It is an arithmetic number, because the mean of its divisors is an integer number (22349600).

Almost surely, 21032010020 is an apocalyptic number.

1032010020 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 1032010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609171200).

1032010020 is an abundant number, since it is smaller than the sum of its proper divisors (2186332380).

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

1032010020 is a wasteful number, since it uses less digits than its factorization.

1032010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1032010020 is about 32124.9127625275. The cubic root of 1032010020 is about 1010.5581400254.

Adding to 1032010020 its reverse (200102301), we get a palindrome (1232112321).

The spelling of 1032010020 in words is "one billion, thirty-two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 199 235 282 398 423 470 564 597 613 705 796 846 940 995 1194 1226 1410 1692 1791 1839 1990 2115 2388 2452 2820 2985 3065 3582 3678 3980 4230 5517 5970 6130 7164 7356 8460 8955 9195 9353 11034 11940 12260 17910 18390 18706 22068 27585 28059 28811 35820 36780 37412 46765 55170 56118 57622 84177 86433 93530 110340 112236 115244 121987 140295 144055 168354 172866 187060 243974 259299 280590 288110 336708 345732 365961 420885 432165 487948 518598 561180 576220 609935 731922 841770 864330 1037196 1097883 1219870 1296495 1463844 1683540 1728660 1829805 2195766 2439740 2592990 3659610 4391532 5185980 5489415 5733389 7319220 10978830 11466778 17200167 21957660 22933556 28666945 34400334 51600501 57333890 68800668 86000835 103201002 114667780 172001670 206402004 258002505 344003340 516005010 1032010020