Search a number
-
+
139392 = 2732112
BaseRepresentation
bin100010000010000000
321002012200
4202002000
513430032
62553200
71120251
oct420200
9232180
10139392
1195800
1268800
134b5a6
1438b28
152b47c
hex22080

139392 has 72 divisors (see below), whose sum is σ = 440895. Its totient is φ = 42240.

The previous prime is 139387. The next prime is 139393. The reversal of 139392 is 293931.

Multipling 139392 by its product of digits (1458), we get a square (203233536 = 142562).

It can be divided in two parts, 1393 and 92, that added together give a triangular number (1485 = T54).

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 can be written as a sum of positive squares in only one way, i.e., 69696 + 69696 = 264^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=264.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139392.

It is not an unprimeable number, because it can be changed into a prime (139393) by changing a digit.

139392 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 (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12667 + ... + 12677.

139392 is a Friedman number, since it can be written as 192*(9^3-3), using all its digits and the basic arithmetic operations.

2139392 is an apocalyptic number.

139392 is a gapful number since it is divisible by the number (12) 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 139392

139392 is an abundant number, since it is smaller than the sum of its proper divisors (301503).

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

139392 is a wasteful number, since it uses less digits than its factorization.

139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 139392 is about 373.3523804665. The cubic root of 139392 is about 51.8496644076.

The spelling of 139392 in words is "one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 69696 139392