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139968 = 2637
BaseRepresentation
bin100010001011000000
321010000000
4202023000
513434333
63000000
71122033
oct421300
9233000
10139968
1196184
1269000
134b92a
143901a
152b713
hex222c0

139968 has 56 divisors (see below), whose sum is σ = 416560. Its totient is φ = 46656.

The previous prime is 139967. The next prime is 139969. The reversal of 139968 is 869931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (139967) and next prime (139969).

It is an ABA number since it can be written as A⋅BA, here for A=3, B=36.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (139967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46655 + 46656 + 46657.

139968 is a Friedman number, since it can be written as ((9+9)^(3+1)*8)/6, using all its digits and the basic arithmetic operations.

2139968 is an apocalyptic number.

139968 is a gapful number since it is divisible by the number (18) 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 139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208280).

139968 is an abundant number, since it is smaller than the sum of its proper divisors (276592).

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

139968 is an frugal number, since it uses more digits than its factorization.

139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 5 counting only the distinct ones).

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

The square root of 139968 is about 374.1229744349. The cubic root of 139968 is about 51.9209845311.

The spelling of 139968 in words is "one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 34992 46656 69984 139968