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268670976 = 211376247
BaseRepresentation
bin10000000000111…
…001100000000000
3200201112220021220
4100000321200000
51022234432401
642354315040
76441444210
oct2000714000
9621486256
10268670976
11128726532
1275b88a80
134387bc12
142797a240
15188c1336
hex10039800

268670976 has 96 divisors (see below), whose sum is σ = 818737920. Its totient is φ = 76750848.

The previous prime is 268670971. The next prime is 268670977. The reversal of 268670976 is 679076862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268670971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39885 + ... + 46131.

It is an arithmetic number, because the mean of its divisors is an integer number (8528520).

Almost surely, 2268670976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409368960).

268670976 is an abundant number, since it is smaller than the sum of its proper divisors (550066944).

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

268670976 is an equidigital number, since it uses as much as digits as its factorization.

268670976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 268670976 is about 16391.1859241484. The cubic root of 268670976 is about 645.2681824506.

The spelling of 268670976 in words is "two hundred sixty-eight million, six hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 6247 7168 10752 12494 14336 18741 21504 24988 37482 43008 43729 49976 74964 87458 99952 131187 149928 174916 199904 262374 299856 349832 399808 524748 599712 699664 799616 1049496 1199424 1399328 1599232 2098992 2398848 2798656 3198464 4197984 4797696 5597312 6396928 8395968 9595392 11194624 12793856 16791936 19190784 22389248 33583872 38381568 44778496 67167744 89556992 134335488 268670976