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6876252 = 2234191117
BaseRepresentation
bin11010001110110001011100
3110221100110000
4122032301130
53230020002
6403214300
7112306245
oct32166134
913840400
106876252
113977259
122377390
131569ab6
14cadccc
1590c61c
hex68ec5c

6876252 has 60 divisors (see below), whose sum is σ = 18938920. Its totient is φ = 2169504.

The previous prime is 6876251. The next prime is 6876253. The reversal of 6876252 is 2526786.

6876252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6876251) and next prime (6876253).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5598 + ... + 6714.

Almost surely, 26876252 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 6876252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469460).

6876252 is an abundant number, since it is smaller than the sum of its proper divisors (12062668).

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

6876252 is a wasteful number, since it uses less digits than its factorization.

6876252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1141 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6876252 is about 2622.2608565892. The cubic root of 6876252 is about 190.1591648744.

The spelling of 6876252 in words is "six million, eight hundred seventy-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1117 1539 2052 2234 3078 3351 4468 6156 6702 10053 13404 20106 21223 30159 40212 42446 60318 63669 84892 90477 120636 127338 180954 191007 254676 361908 382014 573021 764028 1146042 1719063 2292084 3438126 6876252