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104295744 = 2632725867
BaseRepresentation
bin1100011011101…
…10110101000000
321021020202212100
412031312311000
5203144430434
614203230400
72404333140
oct615666500
9237222770
10104295744
1153965a33
122ab18400
13187b8b77
14dbcc920
159252699
hex6376d40

104295744 has 84 divisors (see below), whose sum is σ = 341664544. Its totient is φ = 29797632.

The previous prime is 104295743. The next prime is 104295761. The reversal of 104295744 is 447592401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104295699 and 104295708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104295743) 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, 8902 + ... + 16965.

Almost surely, 2104295744 is an apocalyptic number.

104295744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104295744 is an abundant number, since it is smaller than the sum of its proper divisors (237368800).

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

104295744 is a wasteful number, since it uses less digits than its factorization.

104295744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25892 (or 25879 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 104295744 is about 10212.5287759693. The cubic root of 104295744 is about 470.7122804954.

The spelling of 104295744 in words is "one hundred four million, two hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 25867 51734 77601 103468 155202 181069 206936 232803 310404 362138 413872 465606 543207 620808 724276 827744 931212 1086414 1241616 1448552 1629621 1655488 1862424 2172828 2483232 2897104 3259242 3724848 4345656 4966464 5794208 6518484 7449696 8691312 11588416 13036968 14899392 17382624 26073936 34765248 52147872 104295744