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268504236 = 2232711137451
BaseRepresentation
bin10000000000010…
…000110010101100
3200201020102120100
4100000100302230
51022214113421
642350551100
76440151120
oct2000206254
9621212510
10268504236
11128622230
1275b08490
1343821060
1427935580
151888bc26
hex10010cac

268504236 has 144 divisors (see below), whose sum is σ = 911409408. Its totient is φ = 64368000.

The previous prime is 268504217. The next prime is 268504259. The reversal of 268504236 is 632405862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 268504236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32311 + ... + 39761.

It is an arithmetic number, because the mean of its divisors is an integer number (6329232).

Almost surely, 2268504236 is an apocalyptic number.

268504236 is a gapful number since it is divisible by the number (26) 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 268504236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455704704).

268504236 is an abundant number, since it is smaller than the sum of its proper divisors (642905172).

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

268504236 is a wasteful number, since it uses less digits than its factorization.

268504236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 268504236 is about 16386.0988645864. The cubic root of 268504236 is about 645.1346681132.

The spelling of 268504236 in words is "two hundred sixty-eight million, five hundred four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 7451 9009 12012 14902 18018 22353 29804 36036 44706 52157 67059 81961 89412 96863 104314 134118 156471 163922 193726 208628 245883 268236 290589 312942 327844 387452 469413 491766 573727 581178 625884 678041 737649 871767 938826 983532 1065493 1147454 1162356 1356082 1475298 1721181 1743534 1877652 2034123 2130986 2294908 2712164 2950596 3196479 3442362 3487068 4068246 4261972 5163543 6102369 6392958 6884724 7458451 8136492 9589437 10327086 12204738 12785916 14916902 19178874 20654172 22375353 24409476 29833804 38357748 44750706 67126059 89501412 134252118 268504236