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120720 = 2435503
BaseRepresentation
bin11101011110010000
320010121010
4131132100
512330340
62330520
71011645
oct353620
9203533
10120720
1182776
1259a40
1342c42
1431dcc
1525b80
hex1d790

120720 has 40 divisors (see below), whose sum is σ = 374976. Its totient is φ = 32128.

The previous prime is 120713. The next prime is 120721. The reversal of 120720 is 27021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120696 and 120705.

It is not an unprimeable number, because it can be changed into a prime (120721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 491.

2120720 is an apocalyptic number.

120720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

120720 is an abundant number, since it is smaller than the sum of its proper divisors (254256).

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

120720 is a wasteful number, since it uses less digits than its factorization.

120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 120720 is about 347.4478378117. The cubic root of 120720 is about 49.4226933277.

Adding to 120720 its reverse (27021), we get a palindrome (147741).

The spelling of 120720 in words is "one hundred twenty thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 20120 24144 30180 40240 60360 120720