Search a number
-
+
268690788 = 22328119203
BaseRepresentation
bin10000000000111…
…110010101100100
3200201120220110200
4100000332111210
51022241101123
642354550500
76441556032
oct2000762544
9621526420
10268690788
1112873a403
1275b98430
1343887c42
1427983552
15188c7143
hex1003e564

268690788 has 36 divisors (see below), whose sum is σ = 680101968. Its totient is φ = 89443440.

The previous prime is 268690783. The next prime is 268690801. The reversal of 268690788 is 887096862.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (268690783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24595 + ... + 33797.

Almost surely, 2268690788 is an apocalyptic number.

It is an amenable number.

268690788 is an abundant number, since it is smaller than the sum of its proper divisors (411411180).

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

268690788 is a wasteful number, since it uses less digits than its factorization.

268690788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 268690788 is about 16391.7902622014. The cubic root of 268690788 is about 645.2840429145.

The spelling of 268690788 in words is "two hundred sixty-eight million, six hundred ninety thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 811 1622 2433 3244 4866 7299 9203 9732 14598 18406 27609 29196 36812 55218 82827 110436 165654 331308 7463633 14927266 22390899 29854532 44781798 67172697 89563596 134345394 268690788