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103944 = 2336171
BaseRepresentation
bin11001011000001000
312021120210
4121120020
511311234
62121120
7612021
oct313010
9167523
10103944
1171105
12501a0
1338409
1429c48
1520be9
hex19608

103944 has 32 divisors (see below), whose sum is σ = 267840. Its totient is φ = 33600.

The previous prime is 103919. The next prime is 103951. The reversal of 103944 is 449301.

It is a self number, because there is not a number n which added to its sum of digits gives 103944.

It is an unprimeable number.

103944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2103944 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 103944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

103944 is an abundant number, since it is smaller than the sum of its proper divisors (163896).

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

103944 is a wasteful number, since it uses less digits than its factorization.

103944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103944 is about 322.4034739267. The cubic root of 103944 is about 47.0182515503.

The spelling of 103944 in words is "one hundred three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 61 71 122 142 183 213 244 284 366 426 488 568 732 852 1464 1704 4331 8662 12993 17324 25986 34648 51972 103944