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120321032 = 23131577369
BaseRepresentation
bin1110010101111…
…11010000001000
322101101221102112
413022333100020
5221300233112
615534521452
72660466116
oct712772010
9271357375
10120321032
1161a10a77
1234366288
131bc0a0a0
1411da0ab6
15a86aa22
hex72bf408

120321032 has 32 divisors (see below), whose sum is σ = 244536600. Its totient is φ = 55171584.

The previous prime is 120321007. The next prime is 120321037. The reversal of 120321032 is 230123021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98287396 + 22033636 = 9914^2 + 4694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120320998 and 120321016.

It is not an unprimeable number, because it can be changed into a prime (120321037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12644 + ... + 20012.

Almost surely, 2120321032 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 120321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122268300).

120321032 is an abundant number, since it is smaller than the sum of its proper divisors (124215568).

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

120321032 is a wasteful number, since it uses less digits than its factorization.

120321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 120321032 is about 10969.0944020006. The cubic root of 120321032 is about 493.6818748716.

Adding to 120321032 its reverse (230123021), we get a palindrome (350444053).

The spelling of 120321032 in words is "one hundred twenty million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 7369 8164 14738 16328 29476 58952 95797 191594 383188 766376 1156933 2313866 4627732 9255464 15040129 30080258 60160516 120321032