Search a number
-
+
21410616 = 2331797541
BaseRepresentation
bin101000110101…
…1001100111000
31111021202211210
41101223030320
520440114431
62042523120
7346662423
oct121531470
944252753
1021410616
11110a4127
1272064a0
134588506
142bb49ba
151d2dd46
hex146b338

21410616 has 64 divisors (see below), whose sum is σ = 57365280. Its totient is φ = 6635520.

The previous prime is 21410611. The next prime is 21410617. The reversal of 21410616 is 61601412.

It is a junction number, because it is equal to n+sod(n) for n = 21410592 and 21410601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21410611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39306 + ... + 39846.

Almost surely, 221410616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21410616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28682640).

21410616 is an abundant number, since it is smaller than the sum of its proper divisors (35954664).

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

21410616 is a wasteful number, since it uses less digits than its factorization.

21410616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21410616 is about 4627.1606844803. The cubic root of 21410616 is about 277.6790111919.

The spelling of 21410616 in words is "twenty-one million, four hundred ten thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 204 291 388 408 541 582 776 1082 1164 1623 1649 2164 2328 3246 3298 4328 4947 6492 6596 9197 9894 12984 13192 18394 19788 27591 36788 39576 52477 55182 73576 104954 110364 157431 209908 220728 314862 419816 629724 892109 1259448 1784218 2676327 3568436 5352654 7136872 10705308 21410616