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120529040 = 2451506613
BaseRepresentation
bin1110010111100…
…10000010010000
322101210111202112
413023302002100
5221323412130
615543204452
72662323422
oct713620220
9271714675
10120529040
1162043285
1234446728
131bc80978
1412016812
15a8ac495
hex72f2090

120529040 has 20 divisors (see below), whose sum is σ = 280230204. Its totient is φ = 48211584.

The previous prime is 120529037. The next prime is 120529063. The reversal of 120529040 is 40925021.

It can be written as a sum of positive squares in 2 ways, for example, as 58308496 + 62220544 = 7636^2 + 7888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 120528997 and 120529015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753227 + ... + 753386.

Almost surely, 2120529040 is an apocalyptic number.

120529040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120529040 is an abundant number, since it is smaller than the sum of its proper divisors (159701164).

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

120529040 is a wasteful number, since it uses less digits than its factorization.

120529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506626 (or 1506620 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 120529040 is about 10978.5718561204. The cubic root of 120529040 is about 493.9661993953.

The spelling of 120529040 in words is "one hundred twenty million, five hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1506613 3013226 6026452 7533065 12052904 15066130 24105808 30132260 60264520 120529040