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120113400 = 233521118199
BaseRepresentation
bin1110010100011…
…00100011111000
322101000101121110
413022030203320
5221222112100
615530240320
72655642561
oct712144370
9271011543
10120113400
1161889a80
12342860a0
131bb66724
1411d49168
15a829250
hex728c8f8

120113400 has 96 divisors (see below), whose sum is σ = 406224000. Its totient is φ = 29116800.

The previous prime is 120113393. The next prime is 120113401. The reversal of 120113400 is 4311021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (4231500).

Almost surely, 2120113400 is an apocalyptic number.

120113400 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 120113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

120113400 is an abundant number, since it is smaller than the sum of its proper divisors (286110600).

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

120113400 is a wasteful number, since it uses less digits than its factorization.

120113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18229 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120113400 is about 10959.6259060243. The cubic root of 120113400 is about 493.3977373105.

Adding to 120113400 its reverse (4311021), we get a palindrome (124424421).

The spelling of 120113400 in words is "one hundred twenty million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 18199 36398 54597 72796 90995 109194 145592 181990 200189 218388 272985 363980 400378 436776 454975 545970 600567 727960 800756 909950 1000945 1091940 1201134 1364925 1601512 1819900 2001890 2183880 2402268 2729850 3002835 3639800 4003780 4804536 5004725 5459700 6005670 8007560 10009450 10919400 12011340 15014175 20018900 24022680 30028350 40037800 60056700 120113400