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104312400 = 2435286927
BaseRepresentation
bin1100011011110…
…10111001010000
321021021121201020
412031322321100
5203200444100
614203435440
72404432533
oct615727120
9237247636
10104312400
11539774a5
122ab25b80
13187c361a
14dbd4a1a
1592575a0
hex637ae50

104312400 has 60 divisors (see below), whose sum is σ = 334151232. Its totient is φ = 27816320.

The previous prime is 104312399. The next prime is 104312407. The reversal of 104312400 is 4213401.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104312400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104312407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42264 + ... + 44663.

Almost surely, 2104312400 is an apocalyptic number.

104312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104312400 is an abundant number, since it is smaller than the sum of its proper divisors (229838832).

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

104312400 is a wasteful number, since it uses less digits than its factorization.

104312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86948 (or 86937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104312400 is about 10213.3442123528. The cubic root of 104312400 is about 470.7373366997.

Adding to 104312400 its reverse (4213401), we get a palindrome (108525801).

The spelling of 104312400 in words is "one hundred four million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 86927 173854 260781 347708 434635 521562 695416 869270 1043124 1303905 1390832 1738540 2086248 2173175 2607810 3477080 4172496 4346350 5215620 6519525 6954160 8692700 10431240 13039050 17385400 20862480 26078100 34770800 52156200 104312400