[go: up one dir, main page]

Search a number
-
+
24380064 = 253284653
BaseRepresentation
bin101110100000…
…0001010100000
31200212122011100
41131000022200
522220130224
62230314400
7414140622
oct135001240
950778140
1024380064
1112842115
1281b8a00
135087c97
143348c12
152218ac9
hex17402a0

24380064 has 36 divisors (see below), whose sum is σ = 69331626. Its totient is φ = 8126592.

The previous prime is 24379991. The next prime is 24380071. The reversal of 24380064 is 46008342.

It can be written as a sum of positive squares in only one way, i.e., 24088464 + 291600 = 4908^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42039 + ... + 42614.

Almost surely, 224380064 is an apocalyptic number.

24380064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24380064 is an abundant number, since it is smaller than the sum of its proper divisors (44951562).

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

24380064 is a wasteful number, since it uses less digits than its factorization.

24380064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84669 (or 84658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 24380064 is about 4937.6172391144. The cubic root of 24380064 is about 289.9645775205.

The spelling of 24380064 in words is "twenty-four million, three hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 84653 169306 253959 338612 507918 677224 761877 1015836 1354448 1523754 2031672 2708896 3047508 4063344 6095016 8126688 12190032 24380064