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642062020 = 225238915683
BaseRepresentation
bin100110010001010…
…001011011000100
31122202011010111211
4212101101123010
52303331441040
6143413341204
721624302635
oct4621213304
91582133454
10642062020
112aa477776
1215b037804
13a3034b72
14613b588c
153b57a8ea
hex264516c4

642062020 has 48 divisors (see below), whose sum is σ = 1422852480. Its totient is φ = 242882816.

The previous prime is 642062011. The next prime is 642062039. The reversal of 642062020 is 20260246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 642061982 and 642062000.

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, 33099 + ... + 48781.

It is an arithmetic number, because the mean of its divisors is an integer number (29642760).

Almost surely, 2642062020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642062020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711426240).

642062020 is an abundant number, since it is smaller than the sum of its proper divisors (780790460).

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

642062020 is a wasteful number, since it uses less digits than its factorization.

642062020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 642062020 is about 25338.9427561609. The cubic root of 642062020 is about 862.6984020229.

The spelling of 642062020 in words is "six hundred forty-two million, sixty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1780 2047 4094 8188 10235 15683 20470 31366 40940 62732 78415 156830 313660 360709 721418 1395787 1442836 1803545 2791574 3607090 5583148 6978935 7214180 13957870 27915740 32103101 64206202 128412404 160515505 321031010 642062020