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120414324 = 223192112503
BaseRepresentation
bin1110010110101…
…10000001110100
322101120200101210
413023112001310
5221311224244
615540521420
72661335112
oct713260164
9271520353
10120414324
1161a75078
12343b0270
131bc406a4
1411dc6ab2
15a8884b9
hex72d6074

120414324 has 48 divisors (see below), whose sum is σ = 297274880. Its totient is φ = 37830240.

The previous prime is 120414311. The next prime is 120414331. The reversal of 120414324 is 423414021.

It is a self number, because there is not a number n which added to its sum of digits gives 120414324.

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 15 ways as a sum of consecutive naturals, for example, 46857 + ... + 49359.

Almost surely, 2120414324 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 120414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148637440).

120414324 is an abundant number, since it is smaller than the sum of its proper divisors (176860556).

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

120414324 is a wasteful number, since it uses less digits than its factorization.

120414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 120414324 is about 10973.3460712765. The cubic root of 120414324 is about 493.8094354772.

Adding to 120414324 its reverse (423414021), we get a palindrome (543828345).

The spelling of 120414324 in words is "one hundred twenty million, four hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 211 228 422 633 844 1266 2503 2532 4009 5006 7509 8018 10012 12027 15018 16036 24054 30036 47557 48108 95114 142671 190228 285342 528133 570684 1056266 1584399 2112532 3168798 6337596 10034527 20069054 30103581 40138108 60207162 120414324