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268513674 = 2311131741449
BaseRepresentation
bin10000000000010…
…011000110001010
3200201020220111220
4100000103012022
51022214414144
642351102510
76440220462
oct2000230612
9621226456
10268513674
11128629330
1275b11a36
1343825440
1427938ba2
151888e919
hex1001318a

268513674 has 128 divisors (see below), whose sum is σ = 685843200. Its totient is φ = 68812800.

The previous prime is 268513673. The next prime is 268513703. The reversal of 268513674 is 476315862.

It is not an unprimeable number, because it can be changed into a prime (268513673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597802 + ... + 598250.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2268513674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268513674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

268513674 is an abundant number, since it is smaller than the sum of its proper divisors (417329526).

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

268513674 is a wasteful number, since it uses less digits than its factorization.

268513674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536.

The product of its digits is 241920, while the sum is 42.

The square root of 268513674 is about 16386.3868500655. The cubic root of 268513674 is about 645.1422269134.

The spelling of 268513674 in words is "two hundred sixty-eight million, five hundred thirteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 41 51 66 78 82 102 123 143 187 221 246 286 374 429 442 449 451 533 561 663 697 858 898 902 1066 1122 1326 1347 1353 1394 1599 2091 2431 2694 2706 3198 4182 4862 4939 5837 5863 7293 7633 7667 9061 9878 11674 11726 14586 14817 15266 15334 17511 17589 18122 18409 22899 23001 27183 29634 35022 35178 36818 45798 46002 54366 55227 64207 83963 99229 99671 110454 128414 167926 192621 198458 199342 202499 239317 251889 297687 299013 312953 385242 404998 478634 503778 595374 598026 607497 625906 717951 938859 1091519 1214994 1435902 1877718 2183038 2632487 3274557 3442483 4068389 5264974 6549114 6884966 7897461 8136778 10327449 12205167 15794922 20654898 24410334 44752279 89504558 134256837 268513674