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245583040 = 265898623
BaseRepresentation
bin11101010001101…
…00110011000000
3122010002220121011
432220310303000
51000332124130
640211410304
76041264353
oct1650646300
9563086534
10245583040
1111669719a
126a2b3994
133bb57111
142488a29a
151686052a
hexea34cc0

245583040 has 56 divisors (see below), whose sum is σ = 591433920. Its totient is φ = 97118208.

The previous prime is 245583031. The next prime is 245583053. The reversal of 245583040 is 40385542.

245583040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2455830402 = 120622059071283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245582993 and 245583011.

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, 24169 + ... + 32791.

It is an arithmetic number, because the mean of its divisors is an integer number (10561320).

Almost surely, 2245583040 is an apocalyptic number.

245583040 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 245583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295716960).

245583040 is an abundant number, since it is smaller than the sum of its proper divisors (345850880).

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

245583040 is an equidigital number, since it uses as much as digits as its factorization.

245583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 245583040 is about 15671.0893048314. The cubic root of 245583040 is about 626.2284446959.

The spelling of 245583040 in words is "two hundred forty-five million, five hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3560 5696 7120 8623 14240 17246 28480 34492 43115 68984 86230 137968 172460 275936 344920 551872 689840 767447 1379680 1534894 2759360 3069788 3837235 6139576 7674470 12279152 15348940 24558304 30697880 49116608 61395760 122791520 245583040