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120832 = 21159
BaseRepresentation
bin11101100000000000
320010202021
4131200000
512331312
62331224
71012165
oct354000
9203667
10120832
1182868
1259b14
1342cca
143206c
1525c07
hex1d800

120832 has 24 divisors (see below), whose sum is σ = 245700. Its totient is φ = 59392.

The previous prime is 120829. The next prime is 120833. The reversal of 120832 is 238021.

It is a happy number.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120833) 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 as a sum of consecutive naturals, namely, 2019 + ... + 2077.

2120832 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 120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122850).

120832 is an abundant number, since it is smaller than the sum of its proper divisors (124868).

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

120832 is an frugal number, since it uses more digits than its factorization.

120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 120832 is about 347.6089757184. The cubic root of 120832 is about 49.4379728469.

Adding to 120832 its reverse (238021), we get a palindrome (358853).

The spelling of 120832 in words is "one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 3776 7552 15104 30208 60416 120832