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269412066 = 232711241431
BaseRepresentation
bin10000000011101…
…110011011100010
3200202221112212200
4100003232123202
51022432141231
642422234030
76450651630
oct2003563342
9622845780
10269412066
11129092300
1276285916
1343a7b331
1427ad0350
15189babe6
hex100ee6e2

269412066 has 144 divisors (see below), whose sum is σ = 752903424. Its totient is φ = 68112000.

The previous prime is 269412061. The next prime is 269412067. The reversal of 269412066 is 660214962.

It is a super-2 number, since 2×2694120662 = 145165722612776712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 269412066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269412061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624871 + ... + 625301.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2269412066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269412066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

269412066 is an abundant number, since it is smaller than the sum of its proper divisors (483491358).

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

269412066 is a wasteful number, since it uses less digits than its factorization.

269412066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 269412066 is about 16413.7767134807. The cubic root of 269412066 is about 645.8609307425.

The spelling of 269412066 in words is "two hundred sixty-nine million, four hundred twelve thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 121 123 126 154 198 231 242 246 287 363 369 431 451 462 574 693 726 738 847 861 862 902 1089 1293 1353 1386 1694 1722 2178 2541 2583 2586 2706 3017 3157 3879 4059 4741 4961 5082 5166 6034 6314 7623 7758 8118 9051 9471 9482 9922 14223 14883 15246 17671 18102 18942 27153 28413 28446 29766 33187 34727 35342 42669 44649 52151 53013 54306 56826 66374 69454 85338 89298 99561 104181 104302 106026 123697 156453 159039 194381 199122 208362 247394 298683 312543 312906 318078 365057 371091 388762 469359 583143 597366 625086 730114 742182 938718 1095171 1113273 1166286 1360667 1749429 2138191 2190342 2226546 2721334 3285513 3498858 4082001 4276382 6414573 6571026 8164002 12246003 12829146 14967337 19243719 24492006 29934674 38487438 44902011 89804022 134706033 269412066