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245404520 = 235173131153
BaseRepresentation
bin11101010000010…
…01001101101000
3122002202211201022
432220021031220
51000310421040
640203512012
76036622034
oct1650111550
9562684638
10245404520
11116585059
126a228608
133bac3a9a
14248411c4
15168276b5
hexea09368

245404520 has 64 divisors (see below), whose sum is σ = 587016720. Its totient is φ = 92012544.

The previous prime is 245404519. The next prime is 245404547. The reversal of 245404520 is 25404542.

It can be written as a sum of positive squares in 8 ways, for example, as 93276964 + 152127556 = 9658^2 + 12334^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 245404520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212264 + ... + 213416.

Almost surely, 2245404520 is an apocalyptic number.

245404520 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 245404520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293508360).

245404520 is an abundant number, since it is smaller than the sum of its proper divisors (341612200).

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

245404520 is a wasteful number, since it uses less digits than its factorization.

245404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 245404520 is about 15665.3924304500. The cubic root of 245404520 is about 626.0766679262.

The spelling of 245404520 in words is "two hundred forty-five million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 313 340 626 680 1153 1252 1565 2306 2504 3130 4612 5321 5765 6260 9224 10642 11530 12520 19601 21284 23060 26605 39202 42568 46120 53210 78404 98005 106420 156808 196010 212840 360889 392020 721778 784040 1443556 1804445 2887112 3608890 6135113 7217780 12270226 14435560 24540452 30675565 49080904 61351130 122702260 245404520