Search a number
-
+
240193740 = 223513130559
BaseRepresentation
bin11100101000100…
…01000011001100
3121201222002212110
432110101003030
5442442144430
635500104020
75644420203
oct1624210314
9551862773
10240193740
11113646126
1268535010
133a9bb097
1423c8623a
15161487b0
hexe5110cc

240193740 has 48 divisors (see below), whose sum is σ = 677698560. Its totient is φ = 63560640.

The previous prime is 240193739. The next prime is 240193771. The reversal of 240193740 is 47391042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240193698 and 240193707.

It is an unprimeable number.

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, 7420 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (14118720).

Almost surely, 2240193740 is an apocalyptic number.

240193740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240193740 is an abundant number, since it is smaller than the sum of its proper divisors (437504820).

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

240193740 is a wasteful number, since it uses less digits than its factorization.

240193740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30702 (or 30700 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 240193740 is about 15498.1850550314. The cubic root of 240193740 is about 621.6136771106.

It can be divided in two parts, 2401 and 93740, that added together give a triangular number (96141 = T438).

The spelling of 240193740 in words is "two hundred forty million, one hundred ninety-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 30559 61118 91677 122236 152795 183354 305590 366708 458385 611180 916770 1833540 4003229 8006458 12009687 16012916 20016145 24019374 40032290 48038748 60048435 80064580 120096870 240193740