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20817420 = 22351322053
BaseRepresentation
bin100111101101…
…0011000001100
31110011122010120
41033122120030
520312124140
62022104540
7341642121
oct117323014
943148116
1020817420
1110829488
126b7b150
13440b500
142a9c748
151c631d0
hex13da60c

20817420 has 72 divisors (see below), whose sum is σ = 63148176. Its totient is φ = 5121792.

The previous prime is 20817403. The next prime is 20817427. The reversal of 20817420 is 2471802.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20817427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9114 + ... + 11166.

It is an arithmetic number, because the mean of its divisors is an integer number (877058).

Almost surely, 220817420 is an apocalyptic number.

20817420 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 20817420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574088).

20817420 is an abundant number, since it is smaller than the sum of its proper divisors (42330756).

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

20817420 is a wasteful number, since it uses less digits than its factorization.

20817420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20817420 is about 4562.6110945379. The cubic root of 20817420 is about 275.0905266703.

The spelling of 20817420 in words is "twenty million, eight hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2053 2535 3380 4106 5070 6159 8212 10140 10265 12318 20530 24636 26689 30795 41060 53378 61590 80067 106756 123180 133445 160134 266890 320268 346957 400335 533780 693914 800670 1040871 1387828 1601340 1734785 2081742 3469570 4163484 5204355 6939140 10408710 20817420