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268140210 = 2351323167179
BaseRepresentation
bin11111111101101…
…11111010110010
3200200112221012220
433332313322302
51022120441320
642335101510
76434103612
oct1776677262
9620487186
10268140210
111283a3788
1275971896
1343724460
142787ca42
1518818e40
hexffb7eb2

268140210 has 128 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 62405376.

The previous prime is 268140203. The next prime is 268140227. The reversal of 268140210 is 12041862.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1497901 + ... + 1498079.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2268140210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365783040).

268140210 is an abundant number, since it is smaller than the sum of its proper divisors (463425870).

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

268140210 is a wasteful number, since it uses less digits than its factorization.

268140210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 268140210 is about 16374.9873282394. The cubic root of 268140210 is about 644.8429880422.

The spelling of 268140210 in words is "two hundred sixty-eight million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 167 179 195 230 299 334 345 358 390 501 537 598 690 835 895 897 1002 1074 1495 1670 1790 1794 2171 2327 2505 2685 2990 3841 4117 4342 4485 4654 5010 5370 6513 6981 7682 8234 8970 10855 11523 11635 12351 13026 13962 19205 20585 21710 23046 23270 24702 29893 32565 34905 38410 41170 49933 53521 57615 59786 61755 65130 69810 89679 99866 107042 115230 123510 149465 149799 160563 179358 249665 267605 298930 299598 321126 388609 448395 499330 535210 687539 748995 777218 802815 896790 1165827 1375078 1497990 1605630 1943045 2062617 2331654 3437695 3886090 4125234 5829135 6875390 8938007 10313085 11658270 17876014 20626170 26814021 44690035 53628042 89380070 134070105 268140210