Search a number
-
+
120132324 = 2232131072399
BaseRepresentation
bin1110010100100…
…01001011100100
322101001100120100
413022101023210
5221223213244
615530504100
72656052004
oct712211344
9271040510
10120132324
11618a2214
1234295030
131bb72220
1411d52004
15a82eb69
hex72912e4

120132324 has 72 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 36603072.

The previous prime is 120132323. The next prime is 120132343. The reversal of 120132324 is 423231021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120132297 and 120132306.

It is not an unprimeable number, because it can be changed into a prime (120132323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48877 + ... + 51275.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2120132324 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 120132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

120132324 is an abundant number, since it is smaller than the sum of its proper divisors (210088476).

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

120132324 is a wasteful number, since it uses less digits than its factorization.

120132324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120132324 is about 10960.4892226579. The cubic root of 120132324 is about 493.4236477375.

Adding to 120132324 its reverse (423231021), we get a palindrome (543363345).

The spelling of 120132324 in words is "one hundred twenty million, one hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2399 2782 3852 4173 4798 5564 7197 8346 9596 12519 14394 16692 21591 25038 28788 31187 43182 50076 62374 86364 93561 124748 187122 256693 280683 374244 513386 561366 770079 1026772 1122732 1540158 2310237 3080316 3337009 4620474 6674018 9240948 10011027 13348036 20022054 30033081 40044108 60066162 120132324