Search a number
-
+
20928720 = 2435293197
BaseRepresentation
bin100111111010…
…1100011010000
31110101021210210
41033311203100
520324204340
62024324120
7342614451
oct117654320
943337723
1020928720
11108a506a
127013640
13444a077
142acb128
151c86180
hex13f58d0

20928720 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 5160960.

The previous prime is 20928707. The next prime is 20928757. The reversal of 20928720 is 2782902.

It is a super-2 number, since 2×209287202 = 876022641676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 215712 + ... + 215808.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 220928720 is an apocalyptic number.

20928720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

20928720 is an abundant number, since it is smaller than the sum of its proper divisors (49066800).

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

20928720 is a wasteful number, since it uses less digits than its factorization.

20928720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20928720 is about 4574.7917985412. The cubic root of 20928720 is about 275.5799112283.

The spelling of 20928720 in words is "twenty million, nine hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 40 48 58 60 62 80 87 93 97 116 120 124 145 155 174 186 194 232 240 248 290 291 310 348 372 388 435 464 465 485 496 580 582 620 696 744 776 870 899 930 970 1160 1164 1240 1392 1455 1488 1552 1740 1798 1860 1940 2320 2328 2480 2697 2813 2910 3007 3480 3596 3720 3880 4495 4656 5394 5626 5820 6014 6960 7192 7440 7760 8439 8990 9021 10788 11252 11640 12028 13485 14065 14384 15035 16878 17980 18042 21576 22504 23280 24056 26970 28130 30070 33756 35960 36084 42195 43152 45008 45105 48112 53940 56260 60140 67512 71920 72168 84390 87203 90210 107880 112520 120280 135024 144336 168780 174406 180420 215760 225040 240560 261609 337560 348812 360840 436015 523218 675120 697624 721680 872030 1046436 1308045 1395248 1744060 2092872 2616090 3488120 4185744 5232180 6976240 10464360 20928720