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245894940 = 22345151787
BaseRepresentation
bin11101010100000…
…00111100011100
3122010200202110000
432222000330130
51000422114230
640222214300
76044033604
oct1652007434
9563622400
10245894940
1111688a565
126a424390
133bc36085
142492bc04
15168c2b60
hexea80f1c

245894940 has 60 divisors (see below), whose sum is σ = 771386616. Its totient is φ = 65571552.

The previous prime is 245894927. The next prime is 245894963. The reversal of 245894940 is 49498542.

245894940 is a `hidden beast` number, since 24 + 589 + 4 + 9 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 74274 + ... + 77513.

Almost surely, 2245894940 is an apocalyptic number.

245894940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245894940 is an abundant number, since it is smaller than the sum of its proper divisors (525491676).

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

245894940 is a wasteful number, since it uses less digits than its factorization.

245894940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151808 (or 151797 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 245894940 is about 15681.0375932207. The cubic root of 245894940 is about 626.4934440242.

The spelling of 245894940 in words is "two hundred forty-five million, eight hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 151787 303574 455361 607148 758935 910722 1366083 1517870 1821444 2276805 2732166 3035740 4098249 4553610 5464332 6830415 8196498 9107220 12294747 13660830 16392996 20491245 24589494 27321660 40982490 49178988 61473735 81964980 122947470 245894940