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247690640 = 24512724379
BaseRepresentation
bin11101100001101…
…11010110010000
3122021001222200102
432300313112100
51001402100030
640324511532
76065223101
oct1660672620
9567058612
10247690640
111178a670a
126ab4b5a8
133c414512
1424c783a8
1516b29c45
hexec37590

247690640 has 40 divisors (see below), whose sum is σ = 580439040. Its totient is φ = 98292096.

The previous prime is 247690609. The next prime is 247690687. The reversal of 247690640 is 46096742.

247690640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2476906402 = 122701306287219200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247690594 and 247690603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030 + ... + 22349.

It is an arithmetic number, because the mean of its divisors is an integer number (14510976).

Almost surely, 2247690640 is an apocalyptic number.

247690640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247690640 is an abundant number, since it is smaller than the sum of its proper divisors (332748400).

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

247690640 is a wasteful number, since it uses less digits than its factorization.

247690640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24519 (or 24513 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 247690640 is about 15738.1904931920. The cubic root of 247690640 is about 628.0147805087.

The spelling of 247690640 in words is "two hundred forty-seven million, six hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 24379 48758 97516 121895 195032 243790 390064 487580 975160 1950320 3096133 6192266 12384532 15480665 24769064 30961330 49538128 61922660 123845320 247690640