Search a number
-
+
266974920 = 233351791381
BaseRepresentation
bin11111110100110…
…11011011001000
3200121100201202000
433322123123020
51021321144140
642254111000
76421151352
oct1772333310
9617321660
10266974920
11127778233
12754ab460
1343406c34
14276580d2
1518688a30
hexfe9b6c8

266974920 has 128 divisors (see below), whose sum is σ = 895536000. Its totient is φ = 70744320.

The previous prime is 266974913. The next prime is 266974921. The reversal of 266974920 is 29479662.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (266974921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192630 + ... + 194010.

It is an arithmetic number, because the mean of its divisors is an integer number (6996375).

Almost surely, 2266974920 is an apocalyptic number.

266974920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266974920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447768000).

266974920 is an abundant number, since it is smaller than the sum of its proper divisors (628561080).

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

266974920 is a wasteful number, since it uses less digits than its factorization.

266974920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 266974920 is about 16339.3671848086. The cubic root of 266974920 is about 643.9075070025.

The spelling of 266974920 in words is "two hundred sixty-six million, nine hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 216 270 358 360 537 540 716 895 1074 1080 1381 1432 1611 1790 2148 2685 2762 3222 3580 4143 4296 4833 5370 5524 6444 6905 7160 8055 8286 9666 10740 11048 12429 12888 13810 16110 16572 19332 20715 21480 24165 24858 27620 32220 33144 37287 38664 41430 48330 49716 55240 62145 64440 74574 82860 96660 99432 124290 149148 165720 186435 193320 247199 248580 298296 372870 494398 497160 741597 745740 988796 1235995 1483194 1491480 1977592 2224791 2471990 2966388 3707985 4449582 4943980 5932776 6674373 7415970 8899164 9887960 11123955 13348746 14831940 17798328 22247910 26697492 29663880 33371865 44495820 53394984 66743730 88991640 133487460 266974920