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8214768 = 243257047
BaseRepresentation
bin11111010101100011110000
3120110100112200
4133111203300
54100333033
6452023200
7126552522
oct37254360
916410480
108214768
114700971
122901b00
131918113
14113ba12
15ac4013
hex7d58f0

8214768 has 30 divisors (see below), whose sum is σ = 22990344. Its totient is φ = 2738208.

The previous prime is 8214737. The next prime is 8214769. The reversal of 8214768 is 8674128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28380 + ... + 28667.

Almost surely, 28214768 is an apocalyptic number.

It is an amenable number.

8214768 is an abundant number, since it is smaller than the sum of its proper divisors (14775576).

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

8214768 is a wasteful number, since it uses less digits than its factorization.

8214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57061 (or 57052 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8214768 is about 2866.1416573505. The cubic root of 8214768 is about 201.7739522794.

It can be divided in two parts, 82147 and 68, that added together give a triangular number (82215 = T405).

The spelling of 8214768 in words is "eight million, two hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 57047 114094 171141 228188 342282 456376 513423 684564 912752 1026846 1369128 2053692 2738256 4107384 8214768