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245842680 = 23358324683
BaseRepresentation
bin11101010011101…
…00001011111000
3122010121002202110
432221310023320
51000413431210
640221132320
76043425336
oct1651641370
9563532673
10245842680
11116854276
126a3ba0a0
133bc18355
1424916b56
15168b2420
hexea742f8

245842680 has 64 divisors (see below), whose sum is σ = 746444160. Its totient is φ = 64765568.

The previous prime is 245842651. The next prime is 245842697. The reversal of 245842680 is 86248542.

245842680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2382 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (11663190).

Almost surely, 2245842680 is an apocalyptic number.

245842680 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 245842680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

245842680 is an abundant number, since it is smaller than the sum of its proper divisors (500601480).

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

245842680 is a wasteful number, since it uses less digits than its factorization.

245842680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24780 (or 24776 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 245842680 is about 15679.3711608597. The cubic root of 245842680 is about 626.4490580395.

The spelling of 245842680 in words is "two hundred forty-five million, eight hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 24683 49366 74049 98732 123415 148098 197464 246830 296196 370245 493660 592392 740490 987320 1480980 2048689 2961960 4097378 6146067 8194756 10243445 12292134 16389512 20486890 24584268 30730335 40973780 49168536 61460670 81947560 122921340 245842680