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20020416 = 263132617
BaseRepresentation
bin100110001011…
…1110011000000
31101200010211220
41030113303000
520111123131
61553035040
7332112363
oct114276300
941603756
1020020416
11103346a9
126855a80
1341bc800
1429320da
151b56e96
hex1317cc0

20020416 has 84 divisors (see below), whose sum is σ = 57451752. Its totient is φ = 6150144.

The previous prime is 20020387. The next prime is 20020421. The reversal of 20020416 is 61402002.

It is a junction number, because it is equal to n+sod(n) for n = 20020395 and 20020404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32140 + ... + 32756.

Almost surely, 220020416 is an apocalyptic number.

20020416 is a gapful number since it is divisible by the number (26) 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 20020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725876).

20020416 is an abundant number, since it is smaller than the sum of its proper divisors (37431336).

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

20020416 is a wasteful number, since it uses less digits than its factorization.

20020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20020416 is about 4474.4179509742. The cubic root of 20020416 is about 271.5340928328.

Adding to 20020416 its reverse (61402002), we get a palindrome (81422418).

The spelling of 20020416 in words is "twenty million, twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 617 624 676 832 1014 1234 1248 1352 1851 2028 2468 2496 2704 3702 4056 4936 5408 7404 8021 8112 9872 10816 14808 16042 16224 19744 24063 29616 32084 32448 39488 48126 59232 64168 96252 104273 118464 128336 192504 208546 256672 312819 385008 417092 513344 625638 770016 834184 1251276 1540032 1668368 2502552 3336736 5005104 6673472 10010208 20020416