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245656120 = 235172411499
BaseRepresentation
bin11101010010001…
…10101000111000
3122010020121211211
432221012220320
51000341443440
640213132504
76042020413
oct1651065070
9563217754
10245656120
11116737096
126a32a134
133bb81468
14248a8b7a
1516876eea
hexea46a38

245656120 has 64 divisors (see below), whose sum is σ = 588060000. Its totient is φ = 92037120.

The previous prime is 245656097. The next prime is 245656141. The reversal of 245656120 is 21656542.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 163131 + ... + 164629.

Almost surely, 2245656120 is an apocalyptic number.

245656120 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 245656120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294030000).

245656120 is an abundant number, since it is smaller than the sum of its proper divisors (342403880).

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

245656120 is a wasteful number, since it uses less digits than its factorization.

245656120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 245656120 is about 15673.4208135939. The cubic root of 245656120 is about 626.2905557113.

The spelling of 245656120 in words is "two hundred forty-five million, six hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 241 340 482 680 964 1205 1499 1928 2410 2998 4097 4820 5996 7495 8194 9640 11992 14990 16388 20485 25483 29980 32776 40970 50966 59960 81940 101932 127415 163880 203864 254830 361259 509660 722518 1019320 1445036 1806295 2890072 3612590 6141403 7225180 12282806 14450360 24565612 30707015 49131224 61414030 122828060 245656120