Search a number
-
+
20212416 = 26347557
BaseRepresentation
bin100110100011…
…0101011000000
31102000220020000
41031012223000
520133244131
62001120000
7333542220
oct115065300
942026200
1020212416
1110455984
126929000
134259013
142982080
151b93ce6
hex1346ac0

20212416 has 140 divisors (see below), whose sum is σ = 68598288. Its totient is φ = 5764608.

The previous prime is 20212399. The next prime is 20212417. The reversal of 20212416 is 61421202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36010 + ... + 36566.

Almost surely, 220212416 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 20212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34299144).

20212416 is an abundant number, since it is smaller than the sum of its proper divisors (48385872).

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

20212416 is an equidigital number, since it uses as much as digits as its factorization.

20212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20212416 is about 4495.8220605358. The cubic root of 20212416 is about 272.3993557011.

Adding to 20212416 its reverse (61421202), we get a palindrome (81633618).

The spelling of 20212416 in words is "twenty million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 557 567 576 648 672 756 864 1008 1114 1134 1296 1344 1512 1671 1728 2016 2228 2268 2592 3024 3342 3899 4032 4456 4536 5013 5184 6048 6684 7798 8912 9072 10026 11697 12096 13368 15039 15596 17824 18144 20052 23394 26736 30078 31192 35091 35648 36288 40104 45117 46788 53472 60156 62384 70182 80208 90234 93576 105273 106944 120312 124768 140364 160416 180468 187152 210546 240624 249536 280728 315819 320832 360936 374304 421092 481248 561456 631638 721872 748608 842184 962496 1122912 1263276 1443744 1684368 2245824 2526552 2887488 3368736 5053104 6737472 10106208 20212416