Search a number
-
+
120364120 = 2353009103
BaseRepresentation
bin1110010110010…
…01110001011000
322101111010112101
413023021301120
5221303122440
615535453144
72661035542
oct713116130
9271433471
10120364120
1161a40388
12343871b4
131bc23896
1411db2692
15a87869a
hex72c9c58

120364120 has 16 divisors (see below), whose sum is σ = 270819360. Its totient is φ = 48145632.

The previous prime is 120364117. The next prime is 120364121. The reversal of 120364120 is 21463021.

It is a super-3 number, since 3×1203641203 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120364121) 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 3 ways as a sum of consecutive naturals, for example, 1504512 + ... + 1504591.

It is an arithmetic number, because the mean of its divisors is an integer number (16926210).

Almost surely, 2120364120 is an apocalyptic number.

120364120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120364120 is an abundant number, since it is smaller than the sum of its proper divisors (150455240).

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

120364120 is a wasteful number, since it uses less digits than its factorization.

120364120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009114 (or 3009110 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 120364120 is about 10971.0582898825. The cubic root of 120364120 is about 493.7407984185.

The spelling of 120364120 in words is "one hundred twenty million, three hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3009103 6018206 12036412 15045515 24072824 30091030 60182060 120364120