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245735140 = 225731411381
BaseRepresentation
bin11101010010110…
…01111011100100
3122010101122020111
432221121323210
51000402011030
640214542404
76042466660
oct1651317344
9563348214
10245735140
111167904a2
126a367a04
133bbab411
14248c98a0
151689062a
hexea59ee4

245735140 has 96 divisors (see below), whose sum is σ = 624089088. Its totient is φ = 79488000.

The previous prime is 245735137. The next prime is 245735173. The reversal of 245735140 is 41537542.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177250 + ... + 178630.

It is an arithmetic number, because the mean of its divisors is an integer number (6500928).

Almost surely, 2245735140 is an apocalyptic number.

245735140 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 245735140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312044544).

245735140 is an abundant number, since it is smaller than the sum of its proper divisors (378353948).

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

245735140 is a wasteful number, since it uses less digits than its factorization.

245735140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 245735140 is about 15675.9414390333. The cubic root of 245735140 is about 626.3577012998.

The spelling of 245735140 in words is "two hundred forty-five million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 410 434 574 620 820 868 1085 1148 1271 1381 1435 2170 2542 2762 2870 4340 5084 5524 5740 6355 6905 8897 9667 12710 13810 17794 19334 25420 27620 35588 38668 42811 44485 48335 56621 85622 88970 96670 113242 171244 177940 193340 214055 226484 283105 299677 396347 428110 566210 599354 792694 856220 1132420 1198708 1498385 1585388 1755251 1981735 2996770 3510502 3963470 5993540 7021004 7926940 8776255 12286757 17552510 24573514 35105020 49147028 61433785 122867570 245735140