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120416532 = 22310034711
BaseRepresentation
bin1110010110101…
…10100100010100
322101120210102120
413023112210110
5221311312112
615540535540
72661344415
oct713264424
9271523376
10120416532
1161a767a5
12343b15b0
131bc416b2
1411dc780c
15a888e8c
hex72d6914

120416532 has 12 divisors (see below), whose sum is σ = 280971936. Its totient is φ = 40138840.

The previous prime is 120416521. The next prime is 120416533. The reversal of 120416532 is 235614021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120416533) 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, 5017344 + ... + 5017367.

It is an arithmetic number, because the mean of its divisors is an integer number (23414328).

Almost surely, 2120416532 is an apocalyptic number.

120416532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120416532 is an abundant number, since it is smaller than the sum of its proper divisors (160555404).

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

120416532 is a wasteful number, since it uses less digits than its factorization.

120416532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034718 (or 10034716 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 120416532 is about 10973.4466782320. The cubic root of 120416532 is about 493.8124537354.

The spelling of 120416532 in words is "one hundred twenty million, four hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 10034711 20069422 30104133 40138844 60208266 120416532