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120112308 = 2234389953
BaseRepresentation
bin1110010100011…
…00010010110100
322101000100010000
413022030102310
5221222043213
615530231300
72655636441
oct712142264
9271010100
10120112308
1161889178
1234285530
131bb66094
1411d489c8
15a828c73
hex728c4b4

120112308 has 60 divisors (see below), whose sum is σ = 315134820. Its totient is φ = 39892608.

The previous prime is 120112303. The next prime is 120112309. The reversal of 120112308 is 803211021.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 81324324 = 6228^2 + 9018^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125560 + ... + 126512.

It is an arithmetic number, because the mean of its divisors is an integer number (5252247).

Almost surely, 2120112308 is an apocalyptic number.

120112308 is a gapful number since it is divisible by the number (18) 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 120112308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157567410).

120112308 is an abundant number, since it is smaller than the sum of its proper divisors (195022512).

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

120112308 is a wasteful number, since it uses less digits than its factorization.

120112308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120112308 is about 10959.5760866924. The cubic root of 120112308 is about 493.3962420791.

Adding to 120112308 its reverse (803211021), we get a palindrome (923323329).

The spelling of 120112308 in words is "one hundred twenty million, one hundred twelve thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 389 778 953 1167 1556 1906 2334 2859 3501 3812 4668 5718 7002 8577 10503 11436 14004 17154 21006 25731 31509 34308 42012 51462 63018 77193 102924 126036 154386 308772 370717 741434 1112151 1482868 2224302 3336453 4448604 6672906 10009359 13345812 20018718 30028077 40037436 60056154 120112308