Search a number
-
+
21420630 = 23257112281
BaseRepresentation
bin101000110110…
…1101001010110
31111022021120200
41101231221112
520440430010
62043041330
7350033550
oct121555126
944267520
1021420630
1111100700
127210246
13458cc3a
142bb84d0
151d31cc0
hex146da56

21420630 has 144 divisors (see below), whose sum is σ = 70211232. Its totient is φ = 4435200.

The previous prime is 21420587. The next prime is 21420643. The reversal of 21420630 is 3602412.

It is a happy number.

21420630 is a `hidden beast` number, since 2 + 14 + 20 + 630 = 666.

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 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 71 ways as a sum of consecutive naturals, for example, 76090 + ... + 76370.

It is an arithmetic number, because the mean of its divisors is an integer number (487578).

Almost surely, 221420630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21420630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35105616).

21420630 is an abundant number, since it is smaller than the sum of its proper divisors (48790602).

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

21420630 is a wasteful number, since it uses less digits than its factorization.

21420630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21420630 is about 4628.2426470530. The cubic root of 21420630 is about 277.7222957042.

The spelling of 21420630 in words is "twenty-one million, four hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 121 126 154 165 198 210 231 242 281 315 330 363 385 462 495 562 605 630 693 726 770 843 847 990 1089 1155 1210 1386 1405 1686 1694 1815 1967 2178 2310 2529 2541 2810 3091 3465 3630 3934 4215 4235 5058 5082 5445 5901 6182 6930 7623 8430 8470 9273 9835 10890 11802 12645 12705 15246 15455 17703 18546 19670 21637 25290 25410 27819 29505 30910 34001 35406 38115 43274 46365 55638 59010 64911 68002 76230 88515 92730 102003 108185 129822 139095 170005 177030 194733 204006 216370 238007 278190 306009 324555 340010 389466 476014 510015 612018 649110 714021 973665 1020030 1190035 1428042 1530045 1947330 2142063 2380070 3060090 3570105 4284126 7140210 10710315 21420630