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120081024 = 2732714891
BaseRepresentation
bin1110010100001…
…00101010000000
322100221202012100
413022010222000
5221220043044
615525430400
72655446310
oct712045200
9270852170
10120081024
1161867718
123426b400
131bb54a7b
1411d3b440
15a81e869
hex7284a80

120081024 has 96 divisors (see below), whose sum is σ = 394935840. Its totient is φ = 34306560.

The previous prime is 120081023. The next prime is 120081029. The reversal of 120081024 is 420180021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120080988 and 120081006.

It is not an unprimeable number, because it can be changed into a prime (120081023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (4113915).

Almost surely, 2120081024 is an apocalyptic number.

120081024 is a gapful number since it is divisible by the number (14) 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 120081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197467920).

120081024 is an abundant number, since it is smaller than the sum of its proper divisors (274854816).

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

120081024 is a wasteful number, since it uses less digits than its factorization.

120081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120081024 is about 10958.1487487623. The cubic root of 120081024 is about 493.3534023164.

The spelling of 120081024 in words is "one hundred twenty million, eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 14891 29782 44673 59564 89346 104237 119128 134019 178692 208474 238256 268038 312711 357384 416948 476512 536076 625422 714768 833896 938133 953024 1072152 1250844 1429536 1667792 1876266 1906048 2144304 2501688 2859072 3335584 3752532 4288608 5003376 5718144 6671168 7505064 8577216 10006752 13342336 15010128 17154432 20013504 30020256 40027008 60040512 120081024