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137032 = 2372447
BaseRepresentation
bin100001011101001000
320221222021
4201131020
513341112
62534224
71110340
oct413510
9227867
10137032
1193a55
1267374
134a4ac
1437d20
152a907
hex21748

137032 has 16 divisors (see below), whose sum is σ = 293760. Its totient is φ = 58704.

The previous prime is 137029. The next prime is 137077. The reversal of 137032 is 230731.

It is a junction number, because it is equal to n+sod(n) for n = 136997 and 137015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137032.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1168 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2137032 is an apocalyptic number.

It is an amenable number.

137032 is an abundant number, since it is smaller than the sum of its proper divisors (156728).

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

137032 is a wasteful number, since it uses less digits than its factorization.

137032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 137032 is about 370.1783354007. The cubic root of 137032 is about 51.5553807741. Note that the first 3 decimals are identical.

Adding to 137032 its reverse (230731), we get a palindrome (367763).

The spelling of 137032 in words is "one hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 2447 4894 9788 17129 19576 34258 68516 137032