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7668375 = 353112132
BaseRepresentation
bin11101010000001010010111
3112102121000220
4131100022113
53430342000
6432205423
7122115531
oct35201227
915377026
107668375
114368400
122699873
131786500
141038851
15a171a0
hex750297

7668375 has 72 divisors (see below), whose sum is σ = 15187536. Its totient is φ = 3432000.

The previous prime is 7668337. The next prime is 7668389. The reversal of 7668375 is 5738667.

7668375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7668375 - 220 = 6619799 is a prime.

Its product of digits (211680) is a multiple of the sum of its prime divisors (32).

7668375 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 589869 + ... + 589881.

It is an arithmetic number, because the mean of its divisors is an integer number (210938).

Almost surely, 27668375 is an apocalyptic number.

7668375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7668375 is a deficient number, since it is larger than the sum of its proper divisors (7519161).

7668375 is a wasteful number, since it uses less digits than its factorization.

7668375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 32 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 7668375 is about 2769.1830925383. The cubic root of 7668375 is about 197.1973680539.

The spelling of 7668375 in words is "seven million, six hundred sixty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 121 125 143 165 169 195 275 325 363 375 429 507 605 715 825 845 975 1375 1573 1625 1815 1859 2145 2535 3025 3575 4125 4225 4719 4875 5577 7865 9075 9295 10725 12675 15125 17875 20449 21125 23595 27885 39325 45375 46475 53625 61347 63375 102245 117975 139425 196625 232375 306735 511225 589875 697125 1533675 2556125 7668375