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139500 = 22325331
BaseRepresentation
bin100010000011101100
321002100200
4202003230
513431000
62553500
71120464
oct420354
9232320
10139500
1195899
1268890
134b65a
1438ba4
152b500
hex220ec

139500 has 72 divisors (see below), whose sum is σ = 454272. Its totient is φ = 36000.

The previous prime is 139493. The next prime is 139501. The reversal of 139500 is 5931.

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

It is not an unprimeable number, because it can be changed into a prime (139501) by changing a digit.

139500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485 + ... + 4515.

139500 is a Friedman number, since it can be written as 3100*9*5, using all its digits and the basic arithmetic operations.

2139500 is an apocalyptic number.

139500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139500 is the 200-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227136).

139500 is an abundant number, since it is smaller than the sum of its proper divisors (314772).

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

139500 is a wasteful number, since it uses less digits than its factorization.

139500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 139500 is about 373.4969879397. The cubic root of 139500 is about 51.8630518764.

139500 divided by its sum of digits (18) gives a triangular number (7750 = T124).

The spelling of 139500 in words is "one hundred thirty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 125 150 155 180 186 225 250 279 300 310 372 375 450 465 500 558 620 750 775 900 930 1116 1125 1395 1500 1550 1860 2250 2325 2790 3100 3875 4500 4650 5580 6975 7750 9300 11625 13950 15500 23250 27900 34875 46500 69750 139500