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102966 = 231312
BaseRepresentation
bin11001001000110110
312020020120
4121020312
511243331
62112410
7606123
oct311066
9166216
10102966
11703a6
124b706
1337b36
142974a
1520796
hex19236

102966 has 12 divisors (see below), whose sum is σ = 207516. Its totient is φ = 34060.

The previous prime is 102953. The next prime is 102967. The reversal of 102966 is 669201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 721 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (17293).

2102966 is an apocalyptic number.

102966 is an abundant number, since it is smaller than the sum of its proper divisors (104550).

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

102966 is an equidigital number, since it uses as much as digits as its factorization.

102966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 102966 is about 320.8831563046. The cubic root of 102966 is about 46.8703230889.

Multiplying 102966 by its sum of digits (24), we get a square (2471184 = 15722).

It can be divided in two parts, 10296 and 6, that multiplied together give a triangular number (61776 = T351).

The spelling of 102966 in words is "one hundred two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 131 262 393 786 17161 34322 51483 102966