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123400000 = 2655617
BaseRepresentation
bin1110101101011…
…10111101000000
322121012100222101
413112232331000
5223042300000
620124520144
73025611523
oct726567500
9277170871
10123400000
1163724279
12353b0054
131c747669
1412562bba
15ac77e6a
hex75aef40

123400000 has 84 divisors (see below), whose sum is σ = 306566316. Its totient is φ = 49280000.

The previous prime is 123399989. The next prime is 123400021. The reversal of 123400000 is 4321.

It can be written as a sum of positive squares in 6 ways, for example, as 121528576 + 1871424 = 11024^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 123400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199692 + ... + 200308.

It is an arithmetic number, because the mean of its divisors is an integer number (3649599).

Almost surely, 2123400000 is an apocalyptic number.

123400000 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 123400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153283158).

123400000 is an abundant number, since it is smaller than the sum of its proper divisors (183166316).

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

123400000 is an frugal number, since it uses more digits than its factorization.

123400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 123400000 is about 11108.5552615991. Note that the first 3 decimals coincide. The cubic root of 123400000 is about 497.8574991600.

Adding to 123400000 its reverse (4321), we get a palindrome (123404321).

The spelling of 123400000 in words is "one hundred twenty-three million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 617 625 800 1000 1234 1250 1600 2000 2468 2500 3085 3125 4000 4936 5000 6170 6250 8000 9872 10000 12340 12500 15425 19744 20000 24680 25000 30850 39488 40000 49360 50000 61700 77125 98720 100000 123400 154250 197440 200000 246800 308500 385625 493600 617000 771250 987200 1234000 1542500 1928125 2468000 3085000 3856250 4936000 6170000 7712500 12340000 15425000 24680000 30850000 61700000 123400000