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12400000 = 275531
BaseRepresentation
bin101111010011…
…010110000000
3212022222121021
4233103112000
511133300000
61121435224
7210253414
oct57232600
925288537
1012400000
116aaa338
12419bb14
1327520a2
14190ad44
15114e11a
hexbd3580

12400000 has 96 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 4800000.

The previous prime is 12399991. The next prime is 12400001. The reversal of 12400000 is 421.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 399985 + ... + 400015.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 212400000 is an apocalyptic number.

12400000 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 12400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

12400000 is an abundant number, since it is smaller than the sum of its proper divisors (19472960).

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

12400000 is an frugal number, since it uses more digits than its factorization.

12400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 12400000 is about 3521.3633723318. The cubic root of 12400000 is about 231.4589054526.

Adding to 12400000 its reverse (421), we get a palindrome (12400421).

The spelling of 12400000 in words is "twelve million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3125 3200 3875 3968 4000 4960 5000 6200 6250 7750 8000 9920 10000 12400 12500 15500 16000 19375 19840 20000 24800 25000 31000 38750 40000 49600 50000 62000 77500 80000 96875 99200 100000 124000 155000 193750 200000 248000 310000 387500 400000 496000 620000 775000 1240000 1550000 2480000 3100000 6200000 12400000