Search a number
-
+
21514688 = 2613191361
BaseRepresentation
bin101001000010…
…0100111000000
31111111001121022
41102010213000
521001432223
62045045012
7350605016
oct122044700
944431538
1021514688
1111165338
127256768
1345c39b0
142c008b6
151d4eac8
hex14849c0

21514688 has 56 divisors (see below), whose sum is σ = 48432720. Its totient is φ = 9400320.

The previous prime is 21514687. The next prime is 21514721. The reversal of 21514688 is 88641512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21514687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15128 + ... + 16488.

It is an arithmetic number, because the mean of its divisors is an integer number (864870).

Almost surely, 221514688 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 21514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216360).

21514688 is an abundant number, since it is smaller than the sum of its proper divisors (26918032).

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

21514688 is a wasteful number, since it uses less digits than its factorization.

21514688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1395 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 21514688 is about 4638.3928251066. The cubic root of 21514688 is about 278.1281951070.

The spelling of 21514688 in words is "twenty-one million, five hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1361 1976 2722 3952 5444 7904 10888 15808 17693 21776 25859 35386 43552 51718 70772 87104 103436 141544 206872 283088 336167 413744 566176 672334 827488 1132352 1344668 1654976 2689336 5378672 10757344 21514688