Search a number
-
+
84117150 = 23352134793
BaseRepresentation
bin1010000001110…
…00011010011110
312212021121001000
411000320122132
5133013222100
612202531130
72040661335
oct500703236
9185247030
1084117150
1143533507
1224206aa6
1314572380
14b258d1c
1575b8900
hex503869e

84117150 has 96 divisors (see below), whose sum is σ = 249671520. Its totient is φ = 20701440.

The previous prime is 84117133. The next prime is 84117151. The reversal of 84117150 is 5171148.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84117151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15154 + ... + 19946.

It is an arithmetic number, because the mean of its divisors is an integer number (2600745).

Almost surely, 284117150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84117150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835760).

84117150 is an abundant number, since it is smaller than the sum of its proper divisors (165554370).

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

84117150 is a wasteful number, since it uses less digits than its factorization.

84117150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 84117150 is about 9171.5402196142. The cubic root of 84117150 is about 438.1554149173.

Adding to 84117150 its reverse (5171148), we get a palindrome (89288298).

The spelling of 84117150 in words is "eighty-four million, one hundred seventeen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 4793 5850 8775 9586 14379 17550 23965 28758 43137 47930 62309 71895 86274 119825 124618 129411 143790 186927 215685 239650 258822 311545 359475 373854 431370 560781 623090 647055 718950 934635 1078425 1121562 1294110 1557725 1682343 1869270 2156850 2803905 3115450 3235275 3364686 4673175 5607810 6470550 8411715 9346350 14019525 16823430 28039050 42058575 84117150