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120081000 = 23353133079
BaseRepresentation
bin1110010100001…
…00101001101000
322100221202011110
413022010221220
5221220043000
615525430320
72655446244
oct712045150
9270852143
10120081000
11618676a6
123426b3a0
131bb54a60
1411d3b424
15a81e850
hex7284a68

120081000 has 128 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 29548800.

The previous prime is 120080993. The next prime is 120081023. The reversal of 120081000 is 180021.

It is a happy number.

It is a super-2 number, since 2×1200810002 = 28838893122000000, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 37461 + ... + 40539.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2120081000 is an apocalyptic number.

120081000 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 120081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

120081000 is an abundant number, since it is smaller than the sum of its proper divisors (283522200).

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

120081000 is a wasteful number, since it uses less digits than its factorization.

120081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120081000 is about 10958.1476536867. The cubic root of 120081000 is about 493.3533694484.

The spelling of 120081000 in words is "one hundred twenty million, eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3079 3250 3900 4875 6158 6500 7800 9237 9750 12316 13000 15395 18474 19500 24632 30790 36948 39000 40027 46185 61580 73896 76975 80054 92370 120081 123160 153950 160108 184740 200135 230925 240162 307900 320216 369480 384875 400270 461850 480324 600405 615800 769750 800540 923700 960648 1000675 1154625 1200810 1539500 1601080 1847400 2001350 2309250 2401620 3002025 3079000 4002700 4618500 4803240 5003375 6004050 8005400 9237000 10006750 12008100 15010125 20013500 24016200 30020250 40027000 60040500 120081000