Search a number
-
+
8132418 = 2327194379
BaseRepresentation
bin11111000001011101000010
3120022011120200
4133001131002
54040214133
6450150030
7126060450
oct37013502
916264520
108132418
114655008
122882316
1318b97a8
1411199d0
15aa9913
hex7c1742

8132418 has 96 divisors (see below), whose sum is σ = 21964800. Its totient is φ = 2122848.

The previous prime is 8132401. The next prime is 8132429. The reversal of 8132418 is 8142318.

It is a super-2 number, since 2×81324182 = 132272445053448, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8132391 and 8132400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102903 + ... + 102981.

It is an arithmetic number, because the mean of its divisors is an integer number (228800).

Almost surely, 28132418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982400).

8132418 is an abundant number, since it is smaller than the sum of its proper divisors (13832382).

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

8132418 is a wasteful number, since it uses less digits than its factorization.

8132418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8132418 is about 2851.7394691661. The cubic root of 8132418 is about 201.0974503325.

The spelling of 8132418 in words is "eight million, one hundred thirty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 43 57 63 79 86 114 126 129 133 158 171 237 258 266 301 342 387 399 474 553 602 711 774 798 817 903 1106 1197 1422 1501 1634 1659 1806 2394 2451 2709 3002 3318 3397 4503 4902 4977 5418 5719 6794 7353 9006 9954 10191 10507 11438 13509 14706 17157 20382 21014 23779 27018 30573 31521 34314 47558 51471 61146 63042 64543 71337 94563 102942 129086 142674 189126 193629 214011 387258 428022 451801 580887 903602 1161774 1355403 2710806 4066209 8132418