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104212400 = 2452614271
BaseRepresentation
bin1100011011000…
…10011110110000
321021002112112112
412031202132300
5203134244100
614201344452
72403535145
oct615423660
9237075475
10104212400
1153909356
122aa98128
1318789c56
14dbaa3cc
159237b35
hex63627b0

104212400 has 60 divisors (see below), whose sum is σ = 254534304. Its totient is φ = 40992000.

The previous prime is 104212373. The next prime is 104212417. The reversal of 104212400 is 4212401.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22265 + ... + 26535.

Almost surely, 2104212400 is an apocalyptic number.

104212400 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 104212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127267152).

104212400 is an abundant number, since it is smaller than the sum of its proper divisors (150321904).

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

104212400 is a wasteful number, since it uses less digits than its factorization.

104212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104212400 is about 10208.4474823550. The cubic root of 104212400 is about 470.5868631087.

Adding to 104212400 its reverse (4212401), we get a palindrome (108424801).

Subtracting from 104212400 its reverse (4212401), we obtain a palindrome (99999999).

It can be divided in two parts, 10421 and 2400, that added together give a palindrome (12821).

The spelling of 104212400 in words is "one hundred four million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4271 4880 6100 8542 12200 17084 21355 24400 34168 42710 68336 85420 106775 170840 213550 260531 341680 427100 521062 854200 1042124 1302655 1708400 2084248 2605310 4168496 5210620 6513275 10421240 13026550 20842480 26053100 52106200 104212400