Search a number
-
+
139104 = 2533723
BaseRepresentation
bin100001111101100000
321001211000
4201331200
513422404
62552000
71116360
oct417540
9231730
10139104
1195569
1268600
134b414
14389a0
152b339
hex21f60

139104 has 96 divisors (see below), whose sum is σ = 483840. Its totient is φ = 38016.

The previous prime is 139091. The next prime is 139109. The reversal of 139104 is 401931.

It can be divided in two parts, 139 and 104, that added together give a 5-th power (243 = 35).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139104.

It is not an unprimeable number, because it can be changed into a prime (139109) 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, 6037 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2139104 is an apocalyptic number.

139104 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 139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

139104 is an abundant number, since it is smaller than the sum of its proper divisors (344736).

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

139104 is a wasteful number, since it uses less digits than its factorization.

139104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 139104 is about 372.9664864301. The cubic root of 139104 is about 51.8139306510.

The spelling of 139104 in words is "one hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 69 72 84 92 96 108 112 126 138 144 161 168 184 189 207 216 224 252 276 288 322 336 368 378 414 432 483 504 552 621 644 672 736 756 828 864 966 1008 1104 1242 1288 1449 1512 1656 1932 2016 2208 2484 2576 2898 3024 3312 3864 4347 4968 5152 5796 6048 6624 7728 8694 9936 11592 15456 17388 19872 23184 34776 46368 69552 139104