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202012020 = 223257179431
BaseRepresentation
bin11000000101001…
…11010101110100
3112002010021101200
430002213111310
5403203341040
632013452500
75002034220
oct1402472564
9462107350
10202012020
11a4037691
12577a1130
1332b10052
141cb87780
1512b05630
hexc0a7574

202012020 has 144 divisors (see below), whose sum is σ = 741581568. Its totient is φ = 43453440.

The previous prime is 202012007. The next prime is 202012039. The reversal of 202012020 is 20210202.

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 = 202011993 and 202012011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16705 + ... + 26135.

It is an arithmetic number, because the mean of its divisors is an integer number (5149872).

Almost surely, 2202012020 is an apocalyptic number.

202012020 is a gapful number since it is divisible by the number (20) 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 202012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370790784).

202012020 is an abundant number, since it is smaller than the sum of its proper divisors (539569548).

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

202012020 is a wasteful number, since it uses less digits than its factorization.

202012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202012020 is about 14213.0932593859. The cubic root of 202012020 is about 586.7580687192.

Adding to 202012020 its reverse (20210202), we get a palindrome (222222222).

The spelling of 202012020 in words is "two hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 9431 10710 18862 21420 28293 37724 47155 56586 66017 84879 94310 113172 132034 141465 160327 169758 188620 198051 264068 282930 320654 330085 339516 396102 424395 480981 565860 594153 641308 660170 792204 801635 848790 961962 990255 1122289 1188306 1320340 1442943 1603270 1697580 1923924 1980510 2244578 2376612 2404905 2885886 2970765 3206540 3366867 3961020 4489156 4809810 5611445 5771772 5941530 6733734 7214715 9619620 10100601 11222890 11883060 13467468 14429430 16834335 20201202 22445780 28858860 33668670 40402404 50503005 67337340 101006010 202012020