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139896 = 23322967
BaseRepresentation
bin100010001001111000
321002220100
4202021320
513434041
62555400
71121601
oct421170
9232810
10139896
1196119
1268b60
134b8a3
1438da8
152b6b6
hex22278

139896 has 48 divisors (see below), whose sum is σ = 397800. Its totient is φ = 44352.

The previous prime is 139891. The next prime is 139901. The reversal of 139896 is 698931.

139896 = T88 + T89 + ... + T114.

It is an interprime number because it is at equal distance from previous prime (139891) and next prime (139901).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (11664) is a multiple of the sum of its prime factors (108).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 139896.

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 139896.

It is not an unprimeable number, because it can be changed into a prime (139891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2055 + ... + 2121.

139896 is a Friedman number, since it can be written as 9*8*(9*6^3-1), using all its digits and the basic arithmetic operations.

2139896 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 139896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198900).

139896 is an abundant number, since it is smaller than the sum of its proper divisors (257904).

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

139896 is a wasteful number, since it uses less digits than its factorization.

139896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 139896 is about 374.0267370122. The cubic root of 139896 is about 51.9120802290.

It can be divided in two parts, 139 and 896, that added together give a triangular number (1035 = T45).

The spelling of 139896 in words is "one hundred thirty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 67 72 87 116 134 174 201 232 261 268 348 402 522 536 603 696 804 1044 1206 1608 1943 2088 2412 3886 4824 5829 7772 11658 15544 17487 23316 34974 46632 69948 139896