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104256400 = 2452713671
BaseRepresentation
bin1100011011011…
…01001110010000
321021011202220011
412031231032100
5203142201100
614202324304
72404110343
oct615551620
9237152804
10104256400
1153939416
122aab9694
13187a3ca1
14dbbc45a
159245bba
hex636d390

104256400 has 60 divisors (see below), whose sum is σ = 254073024. Its totient is φ = 41104000.

The previous prime is 104256371. The next prime is 104256403. The reversal of 104256400 is 4652401.

It is not an unprimeable number, because it can be changed into a prime (104256403) 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 11 ways as a sum of consecutive naturals, for example, 26565 + ... + 30235.

Almost surely, 2104256400 is an apocalyptic number.

104256400 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 104256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127036512).

104256400 is an abundant number, since it is smaller than the sum of its proper divisors (149816624).

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

104256400 is a wasteful number, since it uses less digits than its factorization.

104256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 104256400 is about 10210.6023328695. The cubic root of 104256400 is about 470.6530833428.

The spelling of 104256400 in words is "one hundred four million, two hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 568 710 1136 1420 1775 2840 3550 3671 5680 7100 7342 14200 14684 18355 28400 29368 36710 58736 73420 91775 146840 183550 260641 293680 367100 521282 734200 1042564 1303205 1468400 2085128 2606410 4170256 5212820 6516025 10425640 13032050 20851280 26064100 52128200 104256400