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63620020 = 22537149577
BaseRepresentation
bin1111001010110…
…0001110110100
311102201020021001
43302230032310
5112241320040
610151333044
71401522052
oct362541664
9142636231
1063620020
1132a03732
1219381184
13102468a9
1486411d2
1558ba59a
hex3cac3b4

63620020 has 48 divisors (see below), whose sum is σ = 138373200. Its totient is φ = 24551424.

The previous prime is 63619993. The next prime is 63620023. The reversal of 63620020 is 2002636.

It can be written as a sum of positive squares in 8 ways, for example, as 5189284 + 58430736 = 2278^2 + 7644^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63620020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63620023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109972 + ... + 110548.

It is an arithmetic number, because the mean of its divisors is an integer number (2882775).

Almost surely, 263620020 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 63620020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69186600).

63620020 is an abundant number, since it is smaller than the sum of its proper divisors (74753180).

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

63620020 is a wasteful number, since it uses less digits than its factorization.

63620020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 63620020 is about 7976.2158947712. The cubic root of 63620020 is about 399.2068031365.

Adding to 63620020 its reverse (2002636), we get a palindrome (65622656).

The spelling of 63620020 in words is "sixty-three million, six hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 577 596 740 745 1154 1490 2308 2885 2980 5513 5770 11026 11540 21349 22052 27565 42698 55130 85396 85973 106745 110260 171946 213490 343892 426980 429865 859730 1719460 3181001 6362002 12724004 15905005 31810010 63620020