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16266042 = 23313172947
BaseRepresentation
bin111110000011…
…001100111010
31010121101211000
4332003030322
513131003132
61340345430
7255154602
oct76031472
933541730
1016266042
1191aaa11
125545276
1334a69a0
142235c02
15166487c
hexf8333a

16266042 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4451328.

The previous prime is 16266031. The next prime is 16266043. The reversal of 16266042 is 24066261.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 16265997 and 16266015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16266043) 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 63 ways as a sum of consecutive naturals, for example, 346063 + ... + 346109.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 216266042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16266042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

16266042 is an abundant number, since it is smaller than the sum of its proper divisors (27279558).

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

16266042 is a wasteful number, since it uses less digits than its factorization.

16266042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16266042 is about 4033.1181485297. The cubic root of 16266042 is about 253.3731727896.

The spelling of 16266042 in words is "sixteen million, two hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 47 51 54 58 78 87 94 102 117 141 153 174 221 234 261 282 306 351 377 423 442 459 493 522 611 663 702 754 783 799 846 918 986 1131 1222 1269 1326 1363 1479 1566 1598 1833 1989 2262 2397 2538 2726 2958 3393 3666 3978 4089 4437 4794 5499 5967 6409 6786 7191 8178 8874 10179 10387 10998 11934 12267 12818 13311 14382 16497 17719 19227 20358 20774 21573 23171 24534 26622 31161 32994 35438 36801 38454 43146 46342 53157 57681 62322 69513 73602 93483 106314 115362 139026 159471 173043 186966 208539 280449 301223 318942 346086 417078 478413 560898 602446 625617 903669 956826 1251234 1807338 2711007 5422014 8133021 16266042