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120768752 = 2413259757
BaseRepresentation
bin1110011001011…
…00100011110000
322102020200120202
413030230203300
5221404100002
615552254332
72664342326
oct714544360
9272220522
10120768752
1162197395
12345413a8
131c035b00
1412079d16
15a908502
hex732c8f0

120768752 has 60 divisors (see below), whose sum is σ = 258008040. Its totient is φ = 54722304.

The previous prime is 120768751. The next prime is 120768761. The reversal of 120768752 is 257867021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120768751) 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 11 ways as a sum of consecutive naturals, for example, 159158 + ... + 159914.

It is an arithmetic number, because the mean of its divisors is an integer number (4300134).

Almost surely, 2120768752 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 120768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129004020).

120768752 is an abundant number, since it is smaller than the sum of its proper divisors (137239288).

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

120768752 is a wasteful number, since it uses less digits than its factorization.

120768752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 120768752 is about 10989.4837003382. The cubic root of 120768752 is about 494.2934544514.

The spelling of 120768752 in words is "one hundred twenty million, seven hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 169 208 236 338 472 676 757 767 944 1352 1514 1534 2704 3028 3068 6056 6136 9841 9971 12112 12272 19682 19942 39364 39884 44663 78728 79768 89326 127933 157456 159536 178652 255866 357304 511732 580619 714608 1023464 1161238 2046928 2322476 4644952 7548047 9289904 15096094 30192188 60384376 120768752