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120232032 = 2532814457
BaseRepresentation
bin1110010101010…
…01100001100000
322101020102100020
413022221201200
5221234411112
615532553440
72656645464
oct712514140
9271212306
10120232032
1161960118
1234322880
131bba871b
1411d7a4a4
15a84e48c
hex72a9860

120232032 has 48 divisors (see below), whose sum is σ = 316803312. Its totient is φ = 39925760.

The previous prime is 120232031. The next prime is 120232051. The reversal of 120232032 is 230232021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120232031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24748 + ... + 29204.

It is an arithmetic number, because the mean of its divisors is an integer number (6600069).

Almost surely, 2120232032 is an apocalyptic number.

120232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120232032 is an abundant number, since it is smaller than the sum of its proper divisors (196571280).

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

120232032 is a wasteful number, since it uses less digits than its factorization.

120232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 120232032 is about 10965.0367988439. The cubic root of 120232032 is about 493.5601213594.

Adding to 120232032 its reverse (230232021), we get a palindrome (350464053).

The spelling of 120232032 in words is "one hundred twenty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 281 562 843 1124 1686 2248 3372 4457 4496 6744 8914 8992 13371 13488 17828 26742 26976 35656 53484 71312 106968 142624 213936 427872 1252417 2504834 3757251 5009668 7514502 10019336 15029004 20038672 30058008 40077344 60116016 120232032