Search a number
-
+
21071960 = 2357213827
BaseRepresentation
bin101000001100…
…0100001011000
31110122120021222
41100120201120
520343300320
62031351212
7344052200
oct120304130
943576258
1021071960
1110992748
127082508
13449a320
142b27400
151cb3825
hex1418858

21071960 has 96 divisors (see below), whose sum is σ = 59466960. Its totient is φ = 6660864.

The previous prime is 21071927. The next prime is 21071977. The reversal of 21071960 is 6917012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25067 + ... + 25893.

Almost surely, 221071960 is an apocalyptic number.

21071960 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 21071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733480).

21071960 is an abundant number, since it is smaller than the sum of its proper divisors (38395000).

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

21071960 is a wasteful number, since it uses less digits than its factorization.

21071960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 21071960 is about 4590.4204600450. The cubic root of 21071960 is about 276.2071888232.

Adding to 21071960 its reverse (6917012), we get a palindrome (27988972).

The spelling of 21071960 in words is "twenty-one million, seventy-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 827 910 980 1274 1654 1820 1960 2548 3185 3308 3640 4135 5096 5789 6370 6616 8270 10751 11578 12740 16540 21502 23156 25480 28945 33080 40523 43004 46312 53755 57890 75257 81046 86008 107510 115780 150514 162092 202615 215020 231560 301028 324184 376285 405230 430040 526799 602056 752570 810460 1053598 1505140 1620920 2107196 2633995 3010280 4214392 5267990 10535980 21071960