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268137804 = 2231117192331
BaseRepresentation
bin11111111101101…
…11010101001100
3200200112210220210
433332313111030
51022120402204
642335042420
76434063604
oct1776672514
9620483823
10268137804
111283a19a0
1275970410
134372332c
142787bc04
1518818389
hexffb754c

268137804 has 144 divisors (see below), whose sum is σ = 765023616. Its totient is φ = 72230400.

The previous prime is 268137781. The next prime is 268137829. The reversal of 268137804 is 408731862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809919 + ... + 810249.

It is an arithmetic number, because the mean of its divisors is an integer number (5312664).

Almost surely, 2268137804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268137804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382511808).

268137804 is an abundant number, since it is smaller than the sum of its proper divisors (496885812).

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

268137804 is a wasteful number, since it uses less digits than its factorization.

268137804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 268137804 is about 16374.9138623689. The cubic root of 268137804 is about 644.8410593288.

The spelling of 268137804 in words is "two hundred sixty-eight million, one hundred thirty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 331 361 374 418 561 627 646 662 722 748 836 969 993 1083 1122 1254 1292 1324 1444 1938 1986 2166 2244 2508 3553 3641 3876 3971 3972 4332 5627 6137 6289 7106 7282 7942 10659 10923 11254 11913 12274 12578 14212 14564 15884 16881 18411 18867 21318 21846 22508 23826 24548 25156 33762 36822 37734 42636 43692 47652 61897 67507 67524 69179 73644 75468 106913 119491 123794 135014 138358 185691 202521 207537 213826 238982 247588 270028 276716 320739 358473 371382 405042 415074 427652 477964 641478 716946 742764 810084 830148 1176043 1282956 1314401 1433892 2031347 2352086 2628802 3528129 3943203 4062694 4704172 5257604 6094041 7056258 7886406 8125388 12188082 14112516 15772812 22344817 24376164 44689634 67034451 89379268 134068902 268137804