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120080 = 2451979
BaseRepresentation
bin11101010100010000
320002201102
4131110100
512320310
62323532
71010042
oct352420
9202642
10120080
1182244
12595a8
134286c
1431a92
15258a5
hex1d510

120080 has 40 divisors (see below), whose sum is σ = 297600. Its totient is φ = 44928.

The previous prime is 120079. The next prime is 120091. The reversal of 120080 is 80021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2120080 is an apocalyptic number.

120080 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 120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

120080 is an abundant number, since it is smaller than the sum of its proper divisors (177520).

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

120080 is a wasteful number, since it uses less digits than its factorization.

120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 120080 is about 346.5256123290. The cubic root of 120080 is about 49.3351999943.

The spelling of 120080 in words is "one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 152 158 190 304 316 380 395 632 760 790 1264 1501 1520 1580 3002 3160 6004 6320 7505 12008 15010 24016 30020 60040 120080