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266870240 = 25571318329
BaseRepresentation
bin11111110100000…
…01110111100000
3200121011102010222
433322001313200
51021304321430
642251542212
76420234230
oct1772016740
9617142128
10266870240
1112770661a
127545a968
134339b3b0
142762bcc0
15186679e5
hexfe81de0

266870240 has 96 divisors (see below), whose sum is σ = 776018880. Its totient is φ = 84455424.

The previous prime is 266870221. The next prime is 266870243. The reversal of 266870240 is 42078662.

266870240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 266870240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266870243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5396 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (8083530).

Almost surely, 2266870240 is an apocalyptic number.

266870240 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 266870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388009440).

266870240 is an abundant number, since it is smaller than the sum of its proper divisors (509148640).

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

266870240 is a wasteful number, since it uses less digits than its factorization.

266870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18356 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 266870240 is about 16336.1635643134. The cubic root of 266870240 is about 643.8233379860.

The spelling of 266870240 in words is "two hundred sixty-six million, eight hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 18329 36658 73316 91645 128303 146632 183290 238277 256606 293264 366580 476554 513212 586528 641515 733160 953108 1026424 1191385 1283030 1466320 1667939 1906216 2052848 2382770 2566060 2932640 3335878 3812432 4105696 4765540 5132120 6671756 7624864 8339695 9531080 10264240 13343512 16679390 19062160 20528480 26687024 33358780 38124320 53374048 66717560 133435120 266870240