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266288064 = 2637239829
BaseRepresentation
bin11111101111100…
…11101111000000
3200120001211112220
433313303233000
51021132204224
642231251040
76412261020
oct1767635700
9616054486
10266288064
11127349189
1275219a80
1343226403
1427519a80
15185a0279
hexfdf3bc0

266288064 has 112 divisors (see below), whose sum is σ = 809548800. Its totient is φ = 75672576.

The previous prime is 266287993. The next prime is 266288081. The reversal of 266288064 is 460882662.

266288064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320802 + ... + 321630.

Almost surely, 2266288064 is an apocalyptic number.

266288064 is a gapful number since it is divisible by the number (24) 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 266288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404774400).

266288064 is an abundant number, since it is smaller than the sum of its proper divisors (543260736).

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

266288064 is a wasteful number, since it uses less digits than its factorization.

266288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 266288064 is about 16318.3352092056. The cubic root of 266288064 is about 643.3548314173.

The spelling of 266288064 in words is "two hundred sixty-six million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 239 336 448 478 672 717 829 956 1344 1434 1658 1673 1912 2487 2868 3316 3346 3824 4974 5019 5736 5803 6632 6692 7648 9948 10038 11472 11606 13264 13384 15296 17409 19896 20076 22944 23212 26528 26768 34818 39792 40152 45888 46424 53056 53536 69636 79584 80304 92848 107072 139272 159168 160608 185696 198131 278544 321216 371392 396262 557088 594393 792524 1114176 1188786 1386917 1585048 2377572 2773834 3170096 4160751 4755144 5547668 6340192 8321502 9510288 11095336 12680384 16643004 19020576 22190672 33286008 38041152 44381344 66572016 88762688 133144032 266288064