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1020056620 = 2251123071373
BaseRepresentation
bin111100110011001…
…101010000101100
32122002102020121211
4330303031100230
54042113302440
6245115204204
734164224002
oct7463152054
92562366554
101020056620
11483882700
12245746664
131334402cb
149968ca72
155e843eea
hex3cccd42c

1020056620 has 72 divisors (see below), whose sum is σ = 2363950512. Its totient is φ = 369452160.

The previous prime is 1020056599. The next prime is 1020056657. The reversal of 1020056620 is 266500201.

1020056620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10200566203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1020056591 and 1020056600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742254 + ... + 743626.

It is an arithmetic number, because the mean of its divisors is an integer number (32832646).

Almost surely, 21020056620 is an apocalyptic number.

1020056620 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 1020056620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181975256).

1020056620 is an abundant number, since it is smaller than the sum of its proper divisors (1343893892).

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

1020056620 is a wasteful number, since it uses less digits than its factorization.

1020056620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1020056620 is about 31938.3252535257. The cubic root of 1020056620 is about 1006.6413350252.

Adding to 1020056620 its reverse (266500201), we get a palindrome (1286556821).

The spelling of 1020056620 in words is "one billion, twenty million, fifty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 307 484 605 614 1210 1228 1373 1535 2420 2746 3070 3377 5492 6140 6754 6865 13508 13730 15103 16885 27460 30206 33770 37147 60412 67540 74294 75515 148588 151030 166133 185735 302060 332266 371470 421511 664532 742940 830665 843022 1661330 1686044 2107555 3322660 4215110 4636621 8430220 9273242 18546484 23183105 46366210 51002831 92732420 102005662 204011324 255014155 510028310 1020056620