[go: up one dir, main page]

Search a number
-
+
240130404 = 223243612543
BaseRepresentation
bin11100101000000…
…01100101100100
3121201211212222200
432110001211210
5442433133104
635454454500
75644034433
oct1624014544
9551755880
10240130404
11113602588
1268504430
133a9982c7
1423c6b11a
1516134b39
hexe501964

240130404 has 72 divisors (see below), whose sum is σ = 631542912. Its totient is φ = 76870080.

The previous prime is 240130403. The next prime is 240130483. The reversal of 240130404 is 404031042.

It is a super-2 number, since 2×2401304042 = 115325221850406432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240130403) 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 23 ways as a sum of consecutive naturals, for example, 93157 + ... + 95699.

Almost surely, 2240130404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315771456).

240130404 is an abundant number, since it is smaller than the sum of its proper divisors (391412508).

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

240130404 is a wasteful number, since it uses less digits than its factorization.

240130404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2652 counting only the distinct ones).

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

The square root of 240130404 is about 15496.1415842783. The cubic root of 240130404 is about 621.5590351303.

Adding to 240130404 its reverse (404031042), we get a palindrome (644161446).

The spelling of 240130404 in words is "two hundred forty million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 61 86 122 129 172 183 244 258 366 387 516 549 732 774 1098 1548 2196 2543 2623 5086 5246 7629 7869 10172 10492 15258 15738 22887 23607 30516 31476 45774 47214 91548 94428 109349 155123 218698 310246 328047 437396 465369 620492 656094 930738 984141 1312188 1396107 1861476 1968282 2792214 3936564 5584428 6670289 13340578 20010867 26681156 40021734 60032601 80043468 120065202 240130404