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120535020 = 223352943179
BaseRepresentation
bin1110010111100…
…11011111101100
322101210210222000
413023303133230
5221324110040
615543252300
72662350024
oct713633754
9271723860
10120535020
1162047821
123444a090
131bc835c8
1412018a84
15a8ae130
hex72f37ec

120535020 has 192 divisors, whose sum is σ = 399168000. Its totient is φ = 30143232.

The previous prime is 120535003. The next prime is 120535021. The reversal of 120535020 is 20535021.

It is a happy number.

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 = 120534984 and 120535002.

It is not an unprimeable number, because it can be changed into a prime (120535021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 673291 + ... + 673469.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2120535020 is an apocalyptic number.

120535020 is a gapful number since it is divisible by the number (10) 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 120535020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

120535020 is an abundant number, since it is smaller than the sum of its proper divisors (278632980).

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

120535020 is a wasteful number, since it uses less digits than its factorization.

120535020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 120535020 is about 10978.8442014631. The cubic root of 120535020 is about 493.9743685718.

Subtracting from 120535020 its reverse (20535021), we obtain a palindrome (99999999).

The spelling of 120535020 in words is "one hundred twenty million, five hundred thirty-five thousand, twenty".