Search a number
-
+
21692416 = 216331
BaseRepresentation
bin101001011000…
…0000000000000
31111211002101211
41102300000000
521023124131
62052535504
7352245124
oct122600000
944732354
1021692416
1111276919
127321594
134656865
142c49584
151d875b1
hex14b0000

21692416 has 34 divisors (see below), whose sum is σ = 43515572. Its totient is φ = 10813440.

The previous prime is 21692387. The next prime is 21692453. The reversal of 21692416 is 61429612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65371 + ... + 65701.

Almost surely, 221692416 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 21692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757786).

21692416 is an abundant number, since it is smaller than the sum of its proper divisors (21823156).

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

21692416 is an frugal number, since it uses more digits than its factorization.

21692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 21692416 is about 4657.5117820570. The cubic root of 21692416 is about 278.8919473841.

The spelling of 21692416 in words is "twenty-one million, six hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 331 512 662 1024 1324 2048 2648 4096 5296 8192 10592 16384 21184 32768 42368 65536 84736 169472 338944 677888 1355776 2711552 5423104 10846208 21692416