Search a number
-
+
245831040 = 27325721367
BaseRepresentation
bin11101010011100…
…01010110000000
3122010120111210100
432221301112000
51000413043130
640221002400
76043346400
oct1651612600
9563514710
10245831040
11116846554
126a3b3400
133bc12c70
1424912800
15168adc60
hexea71580

245831040 has 576 divisors, whose sum is σ = 1079310960. Its totient is φ = 51093504.

The previous prime is 245831021. The next prime is 245831059. The reversal of 245831040 is 40138542.

It is a Cunningham number, because it is equal to 156792-1.

It is an interprime number because it is at equal distance from previous prime (245831021) and next prime (245831059).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 245830995 and 245831013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669087 + ... + 3669153.

Almost surely, 2245831040 is an apocalyptic number.

245831040 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 245831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539655480).

245831040 is an abundant number, since it is smaller than the sum of its proper divisors (833479920).

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

245831040 is a wasteful number, since it uses less digits than its factorization.

245831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 245831040 is about 15678.9999681102. Note that the first 4 decimals coincide. The cubic root of 245831040 is about 626.4391709820.

Adding to 245831040 its reverse (40138542), we get a palindrome (285969582).

The spelling of 245831040 in words is "two hundred forty-five million, eight hundred thirty-one thousand, forty".