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120535016 = 2371012211
BaseRepresentation
bin1110010111100…
…11011111101000
322101210210221212
413023303133220
5221324110031
615543252252
72662350020
oct713633750
9271723855
10120535016
1162047818
123444a088
131bc835c4
1412018a80
15a8ae12b
hex72f37e8

120535016 has 48 divisors (see below), whose sum is σ = 262108320. Its totient is φ = 50904000.

The previous prime is 120535003. The next prime is 120535021. The reversal of 120535016 is 610535021.

It is a junction number, because it is equal to n+sod(n) for n = 120534982 and 120535000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571151 + ... + 571361.

It is an arithmetic number, because the mean of its divisors is an integer number (5460590).

Almost surely, 2120535016 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 120535016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131054160).

120535016 is an abundant number, since it is smaller than the sum of its proper divisors (141573304).

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

120535016 is a wasteful number, since it uses less digits than its factorization.

120535016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 120535016 is about 10978.8440192946. The cubic root of 120535016 is about 493.9743631076.

The spelling of 120535016 in words is "one hundred twenty million, five hundred thirty-five thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 101 202 211 404 422 707 808 844 1414 1477 1688 2828 2954 5656 5908 10201 11816 20402 21311 40804 42622 71407 81608 85244 142814 149177 170488 285628 298354 571256 596708 1193416 2152411 4304822 8609644 15066877 17219288 30133754 60267508 120535016