Search a number
-
+
247054080 = 28357213101
BaseRepresentation
bin11101011100110…
…11111100000000
3122012212122111010
432232123330000
51001221212310
640303120520
76056632200
oct1656337400
9565778433
10247054080
11117501429
126a8a3140
133c250860
1424b50400
1516a51320
hexeb9bf00

247054080 has 432 divisors, whose sum is σ = 998240544. Its totient is φ = 51609600.

The previous prime is 247054057. The next prime is 247054091. The reversal of 247054080 is 80450742.

It is a super-2 number, since 2×2470540802 = 122071436889292800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446030 + ... + 2446130.

It is an arithmetic number, because the mean of its divisors is an integer number (2310742).

Almost surely, 2247054080 is an apocalyptic number.

247054080 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 247054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499120272).

247054080 is an abundant number, since it is smaller than the sum of its proper divisors (751186464).

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

247054080 is a wasteful number, since it uses less digits than its factorization.

247054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 247054080 is about 15717.9540653356. The cubic root of 247054080 is about 627.4763238211.

The spelling of 247054080 in words is "two hundred forty-seven million, fifty-four thousand, eighty".