Search a number
-
+
247012740 = 223451337317
BaseRepresentation
bin11101011100100…
…01110110000100
3122012210112210000
432232101312010
51001213401430
640302201300
76056400522
oct1656216604
9565715700
10247012740
11117483367
126a883230
133c237ab0
1424b3d312
1516a43e60
hexeb91d84

247012740 has 240 divisors, whose sum is σ = 859752432. Its totient is φ = 58973184.

The previous prime is 247012699. The next prime is 247012757. The reversal of 247012740 is 47210742.

It is a happy number.

247012740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23270976 + 223741764 = 4824^2 + 14958^2 .

It is a super-2 number, since 2×2470127402 = 122030587444615200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 779062 + ... + 779378.

Almost surely, 2247012740 is an apocalyptic number.

247012740 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 247012740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429876216).

247012740 is an abundant number, since it is smaller than the sum of its proper divisors (612739692).

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

247012740 is a wasteful number, since it uses less digits than its factorization.

247012740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 247012740 is about 15716.6389536695. The cubic root of 247012740 is about 627.4413229578.

The spelling of 247012740 in words is "two hundred forty-seven million, twelve thousand, seven hundred forty".