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20640690 = 2335767163
BaseRepresentation
bin100111010111…
…1001110110010
31102211122201000
41032233032302
520241000230
62014222430
7340304640
oct116571662
942748630
1020640690
1110718724
126ab4a16
134378c35
142a54190
151c2ab60
hex13af3b2

20640690 has 128 divisors (see below), whose sum is σ = 64235520. Its totient is φ = 4618944.

The previous prime is 20640679. The next prime is 20640713. The reversal of 20640690 is 9604602.

It is a super-2 number, since 2×206406902 = 852076167352200, which contains 22 as substring.

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

It is a congruent number.

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, 126549 + ... + 126711.

It is an arithmetic number, because the mean of its divisors is an integer number (501840).

Almost surely, 220640690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20640690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32117760).

20640690 is an abundant number, since it is smaller than the sum of its proper divisors (43594830).

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

20640690 is a wasteful number, since it uses less digits than its factorization.

20640690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20640690 is about 4543.2026148962. The cubic root of 20640690 is about 274.3098506941.

The spelling of 20640690 in words is "twenty million, six hundred forty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 90 105 126 134 135 163 189 201 210 270 315 326 335 378 402 469 489 603 630 670 815 938 945 978 1005 1141 1206 1407 1467 1630 1809 1890 2010 2282 2345 2445 2814 2934 3015 3423 3618 4221 4401 4690 4890 5705 6030 6846 7035 7335 8442 8802 9045 10269 10921 11410 12663 14070 14670 17115 18090 20538 21105 21842 22005 25326 30807 32763 34230 42210 44010 51345 54605 61614 63315 65526 76447 98289 102690 109210 126630 152894 154035 163815 196578 229341 294867 308070 327630 382235 458682 491445 589734 688023 764470 982890 1146705 1376046 1474335 2064069 2293410 2948670 3440115 4128138 6880230 10320345 20640690