Search a number
-
+
260303040 = 26325196771
BaseRepresentation
bin11111000001111…
…10100011000000
3200010210202122100
433200332203000
51013114144130
641455110400
76310352664
oct1740764300
9603722570
10260303040
11123a30588
1273212400
1341c0c18a
14267dc8a4
1517cbbc60
hexf83e8c0

260303040 has 336 divisors, whose sum is σ = 969995520. Its totient is φ = 63866880.

The previous prime is 260303033. The next prime is 260303041. The reversal of 260303040 is 40303062.

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 (260303041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666205 + ... + 3666275.

Almost surely, 2260303040 is an apocalyptic number.

260303040 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 260303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484997760).

260303040 is an abundant number, since it is smaller than the sum of its proper divisors (709692480).

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

260303040 is a wasteful number, since it uses less digits than its factorization.

260303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 260303040 is about 16133.9096315803. The cubic root of 260303040 is about 638.4983020841.

The spelling of 260303040 in words is "two hundred sixty million, three hundred three thousand, forty".