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247207120 = 2453090089
BaseRepresentation
bin11101011110000…
…01010011010000
3122020011102102021
432233001103100
51001241111440
640310301224
76061140316
oct1657012320
9566142367
10247207120
111175a6406
126a957814
133c2a5404
1424b900b6
1516a8184a
hexebc14d0

247207120 has 20 divisors (see below), whose sum is σ = 574756740. Its totient is φ = 98882816.

The previous prime is 247207111. The next prime is 247207123. The reversal of 247207120 is 21702742.

247207120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 74442384 + 172764736 = 8628^2 + 13144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2472071202 = 122222720357388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247207123) 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 3 ways as a sum of consecutive naturals, for example, 1544965 + ... + 1545124.

It is an arithmetic number, because the mean of its divisors is an integer number (28737837).

Almost surely, 2247207120 is an apocalyptic number.

247207120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247207120 is an abundant number, since it is smaller than the sum of its proper divisors (327549620).

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

247207120 is a wasteful number, since it uses less digits than its factorization.

247207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090102 (or 3090096 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 247207120 is about 15722.8216297203. The cubic root of 247207120 is about 627.6058624694.

Adding to 247207120 its reverse (21702742), we get a palindrome (268909862).

The spelling of 247207120 in words is "two hundred forty-seven million, two hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3090089 6180178 12360356 15450445 24720712 30900890 49441424 61801780 123603560 247207120