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266413000 = 2353725437
BaseRepresentation
bin11111110000100…
…10001111001000
3200120022011221011
433320102033020
51021200204000
642234053304
76413321200
oct1770221710
9616264834
10266413000
11127424037
127527a234
134326b239
142754d400
15185c72ba
hexfe123c8

266413000 has 96 divisors (see below), whose sum is σ = 725320440. Its totient is φ = 91324800.

The previous prime is 266412961. The next prime is 266413013. The reversal of 266413000 is 314662.

266413000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86155524 + 180257476 = 9282^2 + 13426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46282 + ... + 51718.

Almost surely, 2266413000 is an apocalyptic number.

266413000 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 266413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362660220).

266413000 is an abundant number, since it is smaller than the sum of its proper divisors (458907440).

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

266413000 is a wasteful number, since it uses less digits than its factorization.

266413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 266413000 is about 16322.1628468779. The cubic root of 266413000 is about 643.4554312599.

Adding to 266413000 its reverse (314662), we get a palindrome (266727662).

The spelling of 266413000 in words is "two hundred sixty-six million, four hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 5437 6125 7000 9800 10874 12250 21748 24500 27185 38059 43496 49000 54370 76118 108740 135925 152236 190295 217480 266413 271850 304472 380590 532826 543700 679625 761180 951475 1065652 1087400 1332065 1359250 1522360 1902950 2131304 2664130 2718500 3805900 4757375 5328260 5437000 6660325 7611800 9514750 10656520 13320650 19029500 26641300 33301625 38059000 53282600 66603250 133206500 266413000