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104494068 = 223272371601
BaseRepresentation
bin1100011101001…
…11001111110100
321021121211220200
412032213033310
5203222302233
614211400500
72406120300
oct616471764
9237554820
10104494068
1153a90a38
122abb3130
1318858213
14dc40d00
159291313
hex63a73f4

104494068 has 108 divisors (see below), whose sum is σ = 315763812. Its totient is φ = 29030400.

The previous prime is 104494063. The next prime is 104494069. The reversal of 104494068 is 860494401.

It is a happy number.

104494068 is a `hidden beast` number, since 104 + 494 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100761444 + 3732624 = 10038^2 + 1932^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104494063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64468 + ... + 66068.

It is an arithmetic number, because the mean of its divisors is an integer number (2923739).

Almost surely, 2104494068 is an apocalyptic number.

104494068 is a gapful number since it is divisible by the number (18) 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 104494068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157881906).

104494068 is an abundant number, since it is smaller than the sum of its proper divisors (211269744).

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

104494068 is a wasteful number, since it uses less digits than its factorization.

104494068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104494068 is about 10222.2340024087. The cubic root of 104494068 is about 471.0104532009.

The spelling of 104494068 in words is "one hundred four million, four hundred ninety-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1601 1764 1813 2331 3108 3202 3626 4662 4803 5439 6404 7252 9324 9606 10878 11207 14409 16317 19212 21756 22414 28818 32634 33621 44828 57636 59237 65268 67242 78449 100863 118474 134484 156898 177711 201726 235347 236948 313796 355422 403452 414659 470694 533133 706041 710844 829318 941388 1066266 1243977 1412082 1658636 2132532 2487954 2824164 2902613 3731931 4975908 5805226 7463862 8707839 11610452 14927724 17415678 26123517 34831356 52247034 104494068