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268678600 = 235210311303
BaseRepresentation
bin10000000000111…
…011010111001000
3200201120021202021
4100000323113020
51022240203400
642354414224
76441505351
oct2000732710
9621507667
10268678600
11128731233
1275b91374
1343882528
142797cd28
15188c371a
hex1003b5c8

268678600 has 48 divisors (see below), whose sum is σ = 625763520. Its totient is φ = 107284800.

The previous prime is 268678573. The next prime is 268678607. The reversal of 268678600 is 6876862.

It is not an unprimeable number, because it can be changed into a prime (268678607) 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, 205549 + ... + 206851.

It is an arithmetic number, because the mean of its divisors is an integer number (13036740).

Almost surely, 2268678600 is an apocalyptic number.

268678600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268678600 is an abundant number, since it is smaller than the sum of its proper divisors (357084920).

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

268678600 is a wasteful number, since it uses less digits than its factorization.

268678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 268678600 is about 16391.4184865130. The cubic root of 268678600 is about 645.2742859235.

The spelling of 268678600 in words is "two hundred sixty-eight million, six hundred seventy-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1031 1303 2062 2606 4124 5155 5212 6515 8248 10310 10424 13030 20620 25775 26060 32575 41240 51550 52120 65150 103100 130300 206200 260600 1343393 2686786 5373572 6716965 10747144 13433930 26867860 33584825 53735720 67169650 134339300 268678600