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104759172 = 223271992089
BaseRepresentation
bin1100011111001…
…11111110000100
321022010022120100
412033213332010
5203304243142
614221204100
72411303220
oct617477604
9238108510
10104759172
1154152131
122b100630
131891ba9b
14dcad780
1592e4b4c
hex63e7f84

104759172 has 72 divisors (see below), whose sum is σ = 304304000. Its totient is φ = 29766528.

The previous prime is 104759167. The next prime is 104759189. The reversal of 104759172 is 271957401.

It is a happy number.

104759172 is a `hidden beast` number, since 10 + 475 + 9 + 172 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49104 + ... + 51192.

Almost surely, 2104759172 is an apocalyptic number.

104759172 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 104759172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152152000).

104759172 is an abundant number, since it is smaller than the sum of its proper divisors (199544828).

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

104759172 is a wasteful number, since it uses less digits than its factorization.

104759172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 104759172 is about 10235.1928169429. The cubic root of 104759172 is about 471.4084384948.

The spelling of 104759172 in words is "one hundred four million, seven hundred fifty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2089 2388 2786 3582 4178 4179 5572 6267 7164 8356 8358 12534 12537 14623 16716 18801 25068 25074 29246 37602 43869 50148 58492 75204 87738 131607 175476 263214 415711 526428 831422 1247133 1662844 2494266 2909977 3741399 4988532 5819954 7482798 8729931 11639908 14965596 17459862 26189793 34919724 52379586 104759172