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20068290 = 23351129233
BaseRepresentation
bin100110010001…
…1011111000010
31101202120112000
41030203133002
520114141130
61554044430
7332402064
oct114433702
941676460
1020068290
1110367670
126879716
134208538
142945734
151b66260
hex13237c2

20068290 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 4677120.

The previous prime is 20068289. The next prime is 20068303. The reversal of 20068290 is 9286002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86014 + ... + 86246.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 220068290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20068290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

20068290 is an abundant number, since it is smaller than the sum of its proper divisors (40584510).

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

20068290 is a wasteful number, since it uses less digits than its factorization.

20068290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20068290 is about 4479.7645027390. The cubic root of 20068290 is about 271.7503566581.

It can be divided in two parts, 2006 and 8290, that added together give a triangular number (10296 = T143).

The spelling of 20068290 in words is "twenty million, sixty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 233 261 270 290 297 319 330 435 466 495 522 594 638 699 783 870 957 990 1165 1305 1398 1485 1566 1595 1914 2097 2330 2563 2610 2871 2970 3190 3495 3915 4194 4785 5126 5742 6291 6757 6990 7689 7830 8613 9570 10485 12582 12815 13514 14355 15378 17226 20271 20970 23067 25630 28710 31455 33785 38445 40542 43065 46134 60813 62910 67570 69201 74327 76890 86130 101355 115335 121626 138402 148654 182439 202710 222981 230670 304065 346005 364878 371635 445962 608130 668943 692010 743270 912195 1114905 1337886 1824390 2006829 2229810 3344715 4013658 6689430 10034145 20068290