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12269070 = 23851117
BaseRepresentation
bin101110110011…
…011000001110
3212002100000000
4232303120032
511120102240
61114545130
7206166612
oct56633016
925070000
1012269070
116a1aa30
1241381a6
132707608
1418b5342
151125430
hexbb360e

12269070 has 144 divisors (see below), whose sum is σ = 38261808. Its totient is φ = 2799360.

The previous prime is 12269063. The next prime is 12269071. The reversal of 12269070 is 7096221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12269071) 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, 721702 + ... + 721718.

It is an arithmetic number, because the mean of its divisors is an integer number (265707).

Almost surely, 212269070 is an apocalyptic number.

12269070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12269070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130904).

12269070 is an abundant number, since it is smaller than the sum of its proper divisors (25992738).

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

12269070 is an equidigital number, since it uses as much as digits as its factorization.

12269070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12269070 is about 3502.7232262912. The cubic root of 12269070 is about 230.6413730196.

It can be divided in two parts, 122690 and 70, that added together give a triangular number (122760 = T495).

The spelling of 12269070 in words is "twelve million, two hundred sixty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 81 85 90 99 102 110 135 153 162 165 170 187 198 243 255 270 297 306 330 374 405 459 486 495 510 561 594 729 765 810 891 918 935 990 1122 1215 1377 1458 1485 1530 1683 1782 1870 2187 2295 2430 2673 2754 2805 2970 3366 3645 4131 4374 4455 4590 5049 5346 5610 6561 6885 7290 8019 8262 8415 8910 10098 10935 12393 13122 13365 13770 15147 16038 16830 20655 21870 24057 24786 25245 26730 30294 32805 37179 40095 41310 45441 48114 50490 61965 65610 72171 74358 75735 80190 90882 111537 120285 123930 136323 144342 151470 185895 223074 227205 240570 272646 360855 371790 408969 454410 557685 681615 721710 817938 1115370 1226907 1363230 2044845 2453814 4089690 6134535 12269070