Search a number
-
+
21140730 = 23351319317
BaseRepresentation
bin101000010100…
…1010011111010
31110210001122000
41100221103322
520403000410
62033041430
7344456532
oct120512372
943701560
1021140730
1110a2a386
1270b6276
1344c2710
142b444c2
151cc8dc0
hex14294fa

21140730 has 128 divisors (see below), whose sum is σ = 64108800. Its totient is φ = 4914432.

The previous prime is 21140719. The next prime is 21140731. The reversal of 21140730 is 3704112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21140731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66532 + ... + 66848.

It is an arithmetic number, because the mean of its divisors is an integer number (500850).

Almost surely, 221140730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32054400).

21140730 is an abundant number, since it is smaller than the sum of its proper divisors (42968070).

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

21140730 is a wasteful number, since it uses less digits than its factorization.

21140730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21140730 is about 4597.9049576954. The cubic root of 21140730 is about 276.5073371738.

Adding to 21140730 its reverse (3704112), we get a palindrome (24844842).

The spelling of 21140730 in words is "twenty-one million, one hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 317 342 351 390 494 513 570 585 634 702 741 855 951 1026 1170 1235 1482 1585 1710 1755 1902 2223 2470 2565 2853 3170 3510 3705 4121 4446 4755 5130 5706 6023 6669 7410 8242 8559 9510 11115 12046 12363 13338 14265 17118 18069 20605 22230 24726 28530 30115 33345 36138 37089 41210 42795 54207 60230 61815 66690 74178 78299 85590 90345 108414 111267 123630 156598 162621 180690 185445 222534 234897 271035 325242 370890 391495 469794 542070 556335 704691 782990 813105 1112670 1174485 1409382 1626210 2114073 2348970 3523455 4228146 7046910 10570365 21140730