Search a number
-
+
20590416 = 2433711619
BaseRepresentation
bin100111010001…
…0111101010000
31102202002202000
41032202331100
520232343131
62013154000
7340005240
oct116427520
942662660
1020590416
1110693980
126a8b900
13435c0a2
142a3db20
151c1ace6
hex13a2f50

20590416 has 160 divisors (see below), whose sum is σ = 73804800. Its totient is φ = 5339520.

The previous prime is 20590411. The next prime is 20590429. The reversal of 20590416 is 61409502.

It is a super-3 number, since 3×205904163 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20590416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20590411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32955 + ... + 33573.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 220590416 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 20590416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36902400).

20590416 is an abundant number, since it is smaller than the sum of its proper divisors (53214384).

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

20590416 is a wasteful number, since it uses less digits than its factorization.

20590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20590416 is about 4537.6663605867. Note that the first 3 decimals coincide. The cubic root of 20590416 is about 274.0869598068.

Adding to 20590416 its reverse (61409502), we get a palindrome (81999918).

The spelling of 20590416 in words is "twenty million, five hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 619 693 756 792 924 1008 1188 1232 1238 1386 1512 1584 1848 1857 2079 2376 2476 2772 3024 3696 3714 4158 4333 4752 4952 5544 5571 6809 7428 8316 8666 9904 11088 11142 12999 13618 14856 16632 16713 17332 20427 22284 25998 27236 29712 33264 33426 34664 38997 40854 44568 47663 51996 54472 61281 66852 69328 77994 81708 89136 95326 103992 108944 116991 122562 133704 142989 155988 163416 183843 190652 207984 233982 245124 267408 285978 311976 326832 367686 381304 428967 467964 490248 571956 623952 735372 762608 857934 935928 980496 1143912 1286901 1470744 1715868 1871856 2287824 2573802 2941488 3431736 5147604 6863472 10295208 20590416