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102948 = 22323373
BaseRepresentation
bin11001001000100100
312020012220
4121020210
511243243
62112340
7606066
oct311044
9166186
10102948
117038a
124b6b0
1337b21
1429736
1520783
hex19224

102948 has 24 divisors (see below), whose sum is σ = 251328. Its totient is φ = 32736.

The previous prime is 102931. The next prime is 102953. The reversal of 102948 is 849201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102948.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2102948 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 102948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664).

102948 is an abundant number, since it is smaller than the sum of its proper divisors (148380).

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

102948 is a wasteful number, since it uses less digits than its factorization.

102948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102948 is about 320.8551074862. The cubic root of 102948 is about 46.8675917181.

The spelling of 102948 in words is "one hundred two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 373 746 1119 1492 2238 4476 8579 17158 25737 34316 51474 102948