Search a number
-
+
104492910 = 23523199761
BaseRepresentation
bin1100011101001…
…10111101101110
321021121210022210
412032212331232
5203222233120
614211351250
72406114024
oct616467556
9237553283
10104492910
1153a90085
122abb2526
1318857832
14dc40714
159290ce0
hex63a6f6e

104492910 has 64 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 26484480.

The previous prime is 104492893. The next prime is 104492911. The reversal of 104492910 is 19294401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104492911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136930 + ... + 137690.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2104492910 is an apocalyptic number.

104492910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104492910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

104492910 is an abundant number, since it is smaller than the sum of its proper divisors (158854290).

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

104492910 is a wasteful number, since it uses less digits than its factorization.

104492910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 104492910 is about 10222.1773610127. The cubic root of 104492910 is about 471.0087132867.

The spelling of 104492910 in words is "one hundred four million, four hundred ninety-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 199 230 345 398 597 690 761 995 1194 1522 1990 2283 2985 3805 4566 4577 5970 7610 9154 11415 13731 17503 22830 22885 27462 35006 45770 52509 68655 87515 105018 137310 151439 175030 262545 302878 454317 525090 757195 908634 1514390 2271585 3483097 4543170 6966194 10449291 17415485 20898582 34830970 52246455 104492910