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139944 = 2337317
BaseRepresentation
bin100010001010101000
321002222010
4202022220
513434234
62555520
71122000
oct421250
9232863
10139944
1196162
1268ba0
134b90c
1439000
152b6e9
hex222a8

139944 has 64 divisors (see below), whose sum is σ = 432000. Its totient is φ = 37632.

The previous prime is 139943. The next prime is 139967. The reversal of 139944 is 449931.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (139943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8224 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2139944 is an apocalyptic number.

139944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

139944 is an abundant number, since it is smaller than the sum of its proper divisors (292056).

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

139944 is a wasteful number, since it uses less digits than its factorization.

139944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 139944 is about 374.0908980448. The cubic root of 139944 is about 51.9180167697.

The spelling of 139944 in words is "one hundred thirty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 343 357 392 408 476 588 686 714 833 952 1029 1176 1372 1428 1666 2058 2499 2744 2856 3332 4116 4998 5831 6664 8232 9996 11662 17493 19992 23324 34986 46648 69972 139944