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240003140 = 225131078627
BaseRepresentation
bin11100100111000…
…10100001000100
3121201121102102012
432103202201010
5442420100030
635452033352
75642664416
oct1623424104
9551542365
10240003140
11113525a03
1268462858
133a9523c0
1423c369b6
151610c095
hexe4e2844

240003140 has 48 divisors (see below), whose sum is σ = 547912512. Its totient is φ = 87778176.

The previous prime is 240003119. The next prime is 240003143. The reversal of 240003140 is 41300042.

It is not an unprimeable number, because it can be changed into a prime (240003143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23507 + ... + 32133.

It is an arithmetic number, because the mean of its divisors is an integer number (11414844).

Almost surely, 2240003140 is an apocalyptic number.

240003140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273956256).

240003140 is an abundant number, since it is smaller than the sum of its proper divisors (307909372).

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

240003140 is a wasteful number, since it uses less digits than its factorization.

240003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 240003140 is about 15492.0347275624. The cubic root of 240003140 is about 621.4492113762.

Adding to 240003140 its reverse (41300042), we get a palindrome (281303182).

The spelling of 240003140 in words is "two hundred forty million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 8627 13910 17254 27820 34508 43135 86270 112151 172540 224302 448604 560755 923089 1121510 1846178 2243020 3692356 4615445 9230890 12000157 18461780 24000314 48000628 60000785 120001570 240003140