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76275 = 3352113
BaseRepresentation
bin10010100111110011
310212122000
4102213303
54420100
61345043
7435243
oct224763
9125560
1076275
1152341
1238183
1328944
141db23
1517900
hex129f3

76275 has 24 divisors (see below), whose sum is σ = 141360. Its totient is φ = 40320.

The previous prime is 76261. The next prime is 76283. The reversal of 76275 is 57267.

76275 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 76275 - 24 = 76259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

76275 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (5890).

276275 is an apocalyptic number.

76275 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76275 is a deficient number, since it is larger than the sum of its proper divisors (65085).

76275 is a wasteful number, since it uses less digits than its factorization.

76275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 76275 is about 276.1792895928. The cubic root of 76275 is about 42.4092643219.

It can be divided in two parts, 76 and 275, that added together give a triangular number (351 = T26).

The spelling of 76275 in words is "seventy-six thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 113 135 225 339 565 675 1017 1695 2825 3051 5085 8475 15255 25425 76275