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120000 = 26354
BaseRepresentation
bin11101010011000000
320002121110
4131103000
512320000
62323320
71006566
oct352300
9202543
10120000
1182181
1259540
134280a
1431a36
1525850
hex1d4c0

120000 has 70 divisors (see below), whose sum is σ = 396748. Its totient is φ = 32000.

The previous prime is 119993. The next prime is 120011. The reversal of 120000 is 21.

Adding to 120000 its reverse (21), we get a palindrome (120021).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

120000 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 23998 + ... + 24002.

2120000 is an apocalyptic number.

120000 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 120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374).

120000 is an abundant number, since it is smaller than the sum of its proper divisors (276748).

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

120000 is an frugal number, since it uses more digits than its factorization.

120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 120000 is about 346.4101615138. The cubic root of 120000 is about 49.3242414866.

The spelling of 120000 in words is "one hundred twenty thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000