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255613540 = 225713292167
BaseRepresentation
bin11110011110001…
…01101001100100
3122210222111212011
433033011221210
51010414113130
641210404004
76222451660
oct1717055144
9583874764
10255613540
11121318266
1271730604
1340c59820
1425d3b8a0
151769252a
hexf3c5a64

255613540 has 144 divisors (see below), whose sum is σ = 688326912. Its totient is φ = 77640192.

The previous prime is 255613537. The next prime is 255613549. The reversal of 255613540 is 45316552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255613549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530537 + ... + 1530703.

It is an arithmetic number, because the mean of its divisors is an integer number (4780048).

Almost surely, 2255613540 is an apocalyptic number.

255613540 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 255613540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344163456).

255613540 is an abundant number, since it is smaller than the sum of its proper divisors (432713372).

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

255613540 is a wasteful number, since it uses less digits than its factorization.

255613540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 255613540 is about 15987.9185637155. The cubic root of 255613540 is about 634.6407458038.

The spelling of 255613540 in words is "two hundred fifty-five million, six hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 167 182 203 260 290 334 364 377 406 455 580 668 754 812 835 841 910 1015 1169 1508 1670 1682 1820 1885 2030 2171 2338 2639 3340 3364 3770 4060 4205 4342 4676 4843 5278 5845 5887 7540 8410 8684 9686 10556 10855 10933 11690 11774 13195 15197 16820 19372 21710 21866 23380 23548 24215 26390 29435 30394 33901 43420 43732 48430 52780 54665 58870 60788 62959 67802 75985 76531 96860 109330 117740 125918 135604 140447 151970 153062 169505 218660 251836 280894 303940 306124 314795 339010 382655 440713 561788 629590 678020 702235 765310 881426 983129 1259180 1404470 1530620 1762852 1825811 1966258 2203565 2808940 3651622 3932516 4407130 4915645 7303244 8814260 9129055 9831290 12780677 18258110 19662580 25561354 36516220 51122708 63903385 127806770 255613540