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120332052 = 223217353557
BaseRepresentation
bin1110010110000…
…01111100010100
322101102111112200
413023001330110
5221301111202
615535044500
72660543211
oct713017424
9271374480
10120332052
1161a19285
1234370730
131bc120c9
1411da4b08
15a86de1c
hex72c1f14

120332052 has 72 divisors (see below), whose sum is σ = 323557416. Its totient is φ = 37576704.

The previous prime is 120332041. The next prime is 120332081. The reversal of 120332052 is 250233021.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 112911876 = 2724^2 + 10626^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 215758 + ... + 216314.

It is an arithmetic number, because the mean of its divisors is an integer number (4493853).

Almost surely, 2120332052 is an apocalyptic number.

120332052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120332052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161778708).

120332052 is an abundant number, since it is smaller than the sum of its proper divisors (203225364).

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

120332052 is a wasteful number, since it uses less digits than its factorization.

120332052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 120332052 is about 10969.5967109097. The cubic root of 120332052 is about 493.6969462410.

Adding to 120332052 its reverse (250233021), we get a palindrome (370565073).

The spelling of 120332052 in words is "one hundred twenty million, three hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 353 557 612 706 1059 1114 1412 1671 2118 2228 3177 3342 4236 5013 6001 6354 6684 9469 10026 12002 12708 18003 18938 20052 24004 28407 36006 37876 54009 56814 72012 85221 108018 113628 170442 196621 216036 340884 393242 589863 786484 1179726 1769589 2359452 3342557 3539178 6685114 7078356 10027671 13370228 20055342 30083013 40110684 60166026 120332052