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120320424 = 233371731151
BaseRepresentation
bin1110010101111…
…11000110101000
322101101220121000
413022333012220
5221300223144
615534515000
72660464260
oct712770650
9271356530
10120320424
1161a10574
1234365a60
131bc09a23
1411da07a0
15a86a769
hex72bf1a8

120320424 has 256 divisors, whose sum is σ = 420249600. Its totient is φ = 31104000.

The previous prime is 120320381. The next prime is 120320437. The reversal of 120320424 is 424023021.

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 = 120320397 and 120320406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796749 + ... + 796899.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2120320424 is an apocalyptic number.

120320424 is a gapful number since it is divisible by the number (14) 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 120320424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210124800).

120320424 is an abundant number, since it is smaller than the sum of its proper divisors (299929176).

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

120320424 is a wasteful number, since it uses less digits than its factorization.

120320424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120320424 is about 10969.0666877360. The cubic root of 120320424 is about 493.6810433209.

Adding to 120320424 its reverse (424023021), we get a palindrome (544343445).

The spelling of 120320424 in words is "one hundred twenty million, three hundred twenty thousand, four hundred twenty-four".