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120520720 = 2451506509
BaseRepresentation
bin1110010111100…
…00000000010000
322101210002100101
413023300000100
5221323130340
615543102144
72662260235
oct713600020
9271702311
10120520720
1162038001
1234441954
131bc79c48
141201378c
15a8a9c9a
hex72f0010

120520720 has 20 divisors (see below), whose sum is σ = 280210860. Its totient is φ = 48208256.

The previous prime is 120520717. The next prime is 120520721. The reversal of 120520720 is 27025021.

It can be written as a sum of positive squares in 2 ways, for example, as 86787856 + 33732864 = 9316^2 + 5808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120520721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753175 + ... + 753334.

It is an arithmetic number, because the mean of its divisors is an integer number (14010543).

Almost surely, 2120520720 is an apocalyptic number.

120520720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120520720 is an abundant number, since it is smaller than the sum of its proper divisors (159690140).

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

120520720 is a wasteful number, since it uses less digits than its factorization.

120520720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506522 (or 1506516 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 120520720 is about 10978.1929296219. The cubic root of 120520720 is about 493.9548331349.

Adding to 120520720 its reverse (27025021), we get a palindrome (147545741).

The spelling of 120520720 in words is "one hundred twenty million, five hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1506509 3013018 6026036 7532545 12052072 15065090 24104144 30130180 60260360 120520720