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104400252 = 22341122663
BaseRepresentation
bin1100011100100…
…00010101111100
321021110002020000
412032100111330
5203211302002
614205354300
72405246625
oct616202574
9237402200
10104400252
1153a27500
122ab68990
13188245c8
14dc18a4c
15927361c
hex639057c

104400252 has 90 divisors (see below), whose sum is σ = 300102264. Its totient is φ = 31624560.

The previous prime is 104400229. The next prime is 104400253. The reversal of 104400252 is 252004401.

104400252 is a `hidden beast` number, since 10 + 4 + 400 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104400253) 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 29 ways as a sum of consecutive naturals, for example, 37873 + ... + 40535.

Almost surely, 2104400252 is an apocalyptic number.

104400252 is a gapful number since it is divisible by the number (12) 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 104400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150051132).

104400252 is an abundant number, since it is smaller than the sum of its proper divisors (195702012).

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

104400252 is a wasteful number, since it uses less digits than its factorization.

104400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104400252 is about 10217.6441511730. The cubic root of 104400252 is about 470.8694514248.

Adding to 104400252 its reverse (252004401), we get a palindrome (356404653).

The spelling of 104400252 in words is "one hundred four million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 2663 3267 3564 4356 5326 6534 7989 9801 10652 13068 15978 19602 23967 29293 31956 39204 47934 58586 71901 87879 95868 117172 143802 175758 215703 263637 287604 322223 351516 431406 527274 644446 790911 862812 966669 1054548 1288892 1581822 1933338 2372733 2900007 3163644 3866676 4745466 5800014 8700021 9490932 11600028 17400042 26100063 34800084 52200126 104400252