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20724270 = 2357294183
BaseRepresentation
bin100111100001…
…1101000101110
31102222220100120
41033003220232
520301134040
62020105410
7341103420
oct117035056
942886316
1020724270
11107754a6
126b35266
1343a7ca8
142a76810
151c457d0
hex13c3a2e

20724270 has 128 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 4408320.

The previous prime is 20724259. The next prime is 20724287. The reversal of 20724270 is 7242702.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20724270.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249649 + ... + 249731.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 220724270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20724270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20724270 is an abundant number, since it is smaller than the sum of its proper divisors (40239570).

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

20724270 is a wasteful number, since it uses less digits than its factorization.

20724270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 20724270 is about 4552.3916791067. The cubic root of 20724270 is about 274.6796048225.

Subtracting from 20724270 its product of nonzero digits (1568), we obtain a palindrome (20722702).

Adding to 20724270 its reverse (7242702), we get a palindrome (27966972).

The spelling of 20724270 in words is "twenty million, seven hundred twenty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 83 87 105 123 145 166 174 203 205 210 246 249 287 290 406 410 415 435 498 574 581 609 615 830 861 870 1015 1162 1189 1218 1230 1245 1435 1722 1743 2030 2378 2407 2490 2870 2905 3045 3403 3486 3567 4305 4814 5810 5945 6090 6806 7134 7221 8323 8610 8715 10209 11890 12035 14442 16646 16849 17015 17430 17835 20418 23821 24070 24969 33698 34030 35670 36105 41615 47642 49938 50547 51045 71463 72210 83230 84245 98687 101094 102090 119105 124845 142926 168490 197374 238210 249690 252735 296061 357315 493435 505470 592122 690809 714630 986870 1381618 1480305 2072427 2960610 3454045 4144854 6908090 10362135 20724270