[go: up one dir, main page]

Search a number
-
+
21692320 = 2551310429
BaseRepresentation
bin101001010111…
…1111110100000
31111211002021021
41102233332200
521023123240
62052535224
7352244626
oct122577640
944732237
1021692320
1111276841
127321514
1346567c0
142c49516
151d8754a
hex14affa0

21692320 has 48 divisors (see below), whose sum is σ = 55195560. Its totient is φ = 8008704.

The previous prime is 21692309. The next prime is 21692329. The reversal of 21692320 is 2329612.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 2085136 = 4428^2 + 1444^2 .

It is not an unprimeable number, because it can be changed into a prime (21692329) 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, 3135 + ... + 7294.

Almost surely, 221692320 is an apocalyptic number.

21692320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21692320 is an abundant number, since it is smaller than the sum of its proper divisors (33503240).

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

21692320 is a wasteful number, since it uses less digits than its factorization.

21692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10457 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 21692320 is about 4657.5014761136. The cubic root of 21692320 is about 278.8915359705.

It can be divided in two parts, 2169 and 2320, that added together give a square (4489 = 672).

The spelling of 21692320 in words is "twenty-one million, six hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 10429 20858 41716 52145 83432 104290 135577 166864 208580 271154 333728 417160 542308 677885 834320 1084616 1355770 1668640 2169232 2711540 4338464 5423080 10846160 21692320