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120332032 = 284773137
BaseRepresentation
bin1110010110000…
…01111100000000
322101102111111221
413023001330000
5221301111112
615535044424
72660543152
oct713017400
9271374457
10120332032
1161a19267
1234370714
131bc120b2
1411da4ad2
15a86de07
hex72c1f00

120332032 has 72 divisors (see below), whose sum is σ = 250479936. Its totient is φ = 57655296.

The previous prime is 120331993. The next prime is 120332033. The reversal of 120332032 is 230233021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120331997 and 120332015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120332033) 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, 878268 + ... + 878404.

It is an arithmetic number, because the mean of its divisors is an integer number (3478888).

Almost surely, 2120332032 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 120332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125239968).

120332032 is an abundant number, since it is smaller than the sum of its proper divisors (130147904).

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

120332032 is an equidigital number, since it uses as much as digits as its factorization.

120332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 120332032 is about 10969.5957992991. The cubic root of 120332032 is about 493.6969188891.

Adding to 120332032 its reverse (230233021), we get a palindrome (350565053).

The spelling of 120332032 in words is "one hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 73 94 128 137 146 188 256 274 292 376 548 584 752 1096 1168 1504 2192 2336 3008 3431 4384 4672 6016 6439 6862 8768 9344 10001 12032 12878 13724 17536 18688 20002 25756 27448 35072 40004 51512 54896 80008 103024 109792 160016 206048 219584 320032 412096 439168 470047 640064 824192 878336 940094 1280128 1648384 1880188 2560256 3760376 7520752 15041504 30083008 60166016 120332032