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20625216 = 263177189
BaseRepresentation
bin100111010101…
…1011101000000
31102210212110220
41032223131000
520240001331
62014023040
7340211553
oct116533500
942725426
1020625216
1110708037
126aa7a80
134371b91
142a4c69a
151c26296
hex13ab740

20625216 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 6307840.

The previous prime is 20625197. The next prime is 20625217. The reversal of 20625216 is 61252602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20625217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231700 + ... + 231788.

Almost surely, 220625216 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 20625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

20625216 is an abundant number, since it is smaller than the sum of its proper divisors (38627904).

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

20625216 is a wasteful number, since it uses less digits than its factorization.

20625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20625216 is about 4541.4993119013. The cubic root of 20625216 is about 274.2412849663.

Adding to 20625216 its reverse (61252602), we get a palindrome (81877818).

The spelling of 20625216 in words is "twenty million, six hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 89 96 102 136 142 178 192 204 213 267 272 284 356 408 426 534 544 568 712 816 852 1068 1088 1136 1207 1424 1513 1632 1704 2136 2272 2414 2848 3026 3264 3408 3621 4272 4539 4544 4828 5696 6052 6319 6816 7242 8544 9078 9656 12104 12638 13632 14484 17088 18156 18957 19312 24208 25276 28968 36312 37914 38624 48416 50552 57936 72624 75828 77248 96832 101104 107423 115872 145248 151656 202208 214846 231744 290496 303312 322269 404416 429692 606624 644538 859384 1213248 1289076 1718768 2578152 3437536 5156304 6875072 10312608 20625216