Search a number
-
+
240002064 = 243212912
BaseRepresentation
bin11100100111000…
…10010000010000
3121201121100221100
432103202100100
5442420031224
635452024400
75642661321
oct1623422020
9551540840
10240002064
11113525115
1268462100
133a951a73
1423c36448
151610bac9
hexe4e2410

240002064 has 45 divisors (see below), whose sum is σ = 672193119. Its totient is φ = 79938720.

The previous prime is 240001997. The next prime is 240002083. The reversal of 240002064 is 460200042.

The square root of 240002064 is 15492.

It is a perfect power (a square), and thus also a powerful number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185259 + ... + 186549.

Almost surely, 2240002064 is an apocalyptic number.

240002064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

240002064 is the 15492-nd square number.

It is an amenable number.

240002064 is an abundant number, since it is smaller than the sum of its proper divisors (432191055).

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

240002064 is an equidigital number, since it uses as much as digits as its factorization.

240002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The cubic root of 240002064 is about 621.4482826656.

The spelling of 240002064 in words is "two hundred forty million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1291 2582 3873 5164 7746 10328 11619 15492 20656 23238 30984 46476 61968 92952 185904 1666681 3333362 5000043 6666724 10000086 13333448 15000129 20000172 26666896 30000258 40000344 60000516 80000688 120001032 240002064