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120520416 = 2531255421
BaseRepresentation
bin1110010111011…
…11111011100000
322101210001221010
413023233323200
5221323123131
615543100520
72662256322
oct713577340
9271701833
10120520416
1162037855
1234441740
131bc79a73
1412013612
15a8a9b46
hex72efee0

120520416 has 24 divisors (see below), whose sum is σ = 316366344. Its totient is φ = 40173440.

The previous prime is 120520409. The next prime is 120520423. The reversal of 120520416 is 614025021.

It is an interprime number because it is at equal distance from previous prime (120520409) and next prime (120520423).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 120520392 and 120520401.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 627615 + ... + 627806.

It is an arithmetic number, because the mean of its divisors is an integer number (13181931).

Almost surely, 2120520416 is an apocalyptic number.

120520416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120520416 is an abundant number, since it is smaller than the sum of its proper divisors (195845928).

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

120520416 is a wasteful number, since it uses less digits than its factorization.

120520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255434 (or 1255426 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120520416 is about 10978.1790839829. The cubic root of 120520416 is about 493.9544178194.

Adding to 120520416 its reverse (614025021), we get a palindrome (734545437).

The spelling of 120520416 in words is "one hundred twenty million, five hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1255421 2510842 3766263 5021684 7532526 10043368 15065052 20086736 30130104 40173472 60260208 120520416