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120106500 = 2235380071
BaseRepresentation
bin1110010100010…
…10111000000100
322101000001010220
413022022320010
5221221402000
615530144340
72655613503
oct712127004
9271001126
10120106500
1161884878
12342820b0
131bb63547
1411d4683a
15a8271a0
hex728ae04

120106500 has 48 divisors (see below), whose sum is σ = 349754496. Its totient is φ = 32028000.

The previous prime is 120106489. The next prime is 120106501. The reversal of 120106500 is 5601021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120106500.

It is not an unprimeable number, because it can be changed into a prime (120106501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38536 + ... + 41535.

It is an arithmetic number, because the mean of its divisors is an integer number (7286552).

Almost surely, 2120106500 is an apocalyptic number.

120106500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120106500 is an abundant number, since it is smaller than the sum of its proper divisors (229647996).

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

120106500 is a wasteful number, since it uses less digits than its factorization.

120106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80093 (or 80081 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 120106500 is about 10959.3111097368. The cubic root of 120106500 is about 493.3882892678.

Adding to 120106500 its reverse (5601021), we get a palindrome (125707521).

The spelling of 120106500 in words is "one hundred twenty million, one hundred six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 80071 160142 240213 320284 400355 480426 800710 960852 1201065 1601420 2001775 2402130 4003550 4804260 6005325 8007100 10008875 12010650 20017750 24021300 30026625 40035500 60053250 120106500