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138948 = 22311579
BaseRepresentation
bin100001111011000100
321001121020
4201323010
513421243
62551140
71116045
oct417304
9231536
10138948
1195437
12684b0
134b324
14388cc
152b283
hex21ec4

138948 has 12 divisors (see below), whose sum is σ = 324240. Its totient is φ = 46312.

The previous prime is 138937. The next prime is 138959. The reversal of 138948 is 849831.

It is an interprime number because it is at equal distance from previous prime (138937) and next prime (138959).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is an unprimeable number.

138948 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 3 ways as a sum of consecutive naturals, for example, 5778 + ... + 5801.

It is an arithmetic number, because the mean of its divisors is an integer number (27020).

2138948 is an apocalyptic number.

It is an amenable number.

138948 is an abundant number, since it is smaller than the sum of its proper divisors (185292).

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

138948 is a wasteful number, since it uses less digits than its factorization.

138948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11584 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 138948 is about 372.7572936912. The cubic root of 138948 is about 51.7945542692.

The spelling of 138948 in words is "one hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 11579 23158 34737 46316 69474 138948