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42020040 = 23351013467
BaseRepresentation
bin1010000001001…
…0110011001000
32221001211122210
42200102303020
541224120130
64100345120
71020110256
oct240226310
987054583
1042020040
11217a0307
12120a51a0
13892313a
14581b5d6
153a505b0
hex2812cc8

42020040 has 64 divisors (see below), whose sum is σ = 127344960. Its totient is φ = 11091200.

The previous prime is 42020029. The next prime is 42020059. The reversal of 42020040 is 4002024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 42019998 and 42020025.

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, 10387 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 242020040 is an apocalyptic number.

42020040 is a gapful number since it is divisible by the number (40) 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 42020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672480).

42020040 is an abundant number, since it is smaller than the sum of its proper divisors (85324920).

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

42020040 is a wasteful number, since it uses less digits than its factorization.

42020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42020040 is about 6482.2866335885. The cubic root of 42020040 is about 347.6579410741.

Adding to 42020040 its reverse (4002024), we get a palindrome (46022064).

The spelling of 42020040 in words is "forty-two million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 3467 4040 6060 6934 10401 12120 13868 17335 20802 27736 34670 41604 52005 69340 83208 104010 138680 208020 350167 416040 700334 1050501 1400668 1750835 2101002 2801336 3501670 4202004 5252505 7003340 8404008 10505010 14006680 21010020 42020040