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104497024 = 2759101137
BaseRepresentation
bin1100011101001…
…11111110000000
321021121222222011
412032213332000
5203222401044
614211422304
72406132022
oct616477600
9237558864
10104497024
1153a93185
122abb4994
1318859678
14dc42012
159292134
hex63a7f80

104497024 has 64 divisors (see below), whose sum is σ = 215362800. Its totient is φ = 50483200.

The previous prime is 104497021. The next prime is 104497049. The reversal of 104497024 is 420794401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104497021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762684 + ... + 762820.

Almost surely, 2104497024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104497024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107681400).

104497024 is an abundant number, since it is smaller than the sum of its proper divisors (110865776).

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

104497024 is a wasteful number, since it uses less digits than its factorization.

104497024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 104497024 is about 10222.3785881760. The cubic root of 104497024 is about 471.0148945814.

The spelling of 104497024 in words is "one hundred four million, four hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 32 59 64 101 118 128 137 202 236 274 404 472 548 808 944 1096 1616 1888 2192 3232 3776 4384 5959 6464 7552 8083 8768 11918 12928 13837 16166 17536 23836 27674 32332 47672 55348 64664 95344 110696 129328 190688 221392 258656 381376 442784 517312 762752 816383 885568 1034624 1632766 1771136 3265532 6531064 13062128 26124256 52248512 104497024