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42020010 = 23254211109
BaseRepresentation
bin1010000001001…
…0110010101010
32221001211121200
42200102302222
541224120020
64100345030
71020110214
oct240226252
987054550
1042020010
11217a028a
12120a5176
138923116
14581b5b4
153a50590
hex2812caa

42020010 has 48 divisors (see below), whose sum is σ = 109610280. Its totient is φ = 11168640.

The previous prime is 42020003. The next prime is 42020023. The reversal of 42020010 is 1002024.

It can be written as a sum of positive squares in 4 ways, for example, as 6985449 + 35034561 = 2643^2 + 5919^2 .

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 = 42019974 and 42020001.

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, 37336 + ... + 38444.

Almost surely, 242020010 is an apocalyptic number.

42020010 is an abundant number, since it is smaller than the sum of its proper divisors (67590270).

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

42020010 is a wasteful number, since it uses less digits than its factorization.

42020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1540 counting only the distinct ones).

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

The square root of 42020010 is about 6482.2843195898. The cubic root of 42020010 is about 347.6578583379.

Adding to 42020010 its reverse (1002024), we get a palindrome (43022034).

The spelling of 42020010 in words is "forty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1109 1263 2105 2218 2526 3327 3789 4210 5545 6315 6654 7578 9981 11090 12630 16635 18945 19962 33270 37890 49905 99810 466889 933778 1400667 2334445 2801334 4202001 4668890 7003335 8404002 14006670 21010005 42020010