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10768275 = 335274353
BaseRepresentation
bin101001000100…
…111110010011
3202021002022000
4221010332103
510224041100
61022445043
7160346250
oct51047623
922232260
1010768275
116095401
123733783
13230047b
141604427
15e2a900
hexa44f93

10768275 has 96 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 4717440.

The previous prime is 10768273. The next prime is 10768279. The reversal of 10768275 is 57286701.

10768275 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10768275 - 21 = 10768273 is a prime.

10768275 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203149 + ... + 203201.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 210768275 is an apocalyptic number.

10768275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10768275 is an abundant number, since it is smaller than the sum of its proper divisors (12801645).

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

10768275 is a wasteful number, since it uses less digits than its factorization.

10768275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10768275 is about 3281.5049900922. The cubic root of 10768275 is about 220.8252407936.

The spelling of 10768275 in words is "ten million, seven hundred sixty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 43 45 53 63 75 105 129 135 159 175 189 215 225 265 301 315 371 387 477 525 645 675 795 903 945 1075 1113 1161 1325 1431 1505 1575 1855 1935 2279 2385 2709 3225 3339 3975 4515 4725 5565 5805 6837 7155 7525 8127 9275 9675 10017 11395 11925 13545 15953 16695 20511 22575 27825 29025 34185 35775 40635 47859 50085 56975 61533 67725 79765 83475 102555 143577 170925 203175 239295 250425 307665 398825 430731 512775 717885 1196475 1538325 2153655 3589425 10768275