Search a number
-
+
8160264 = 233472257
BaseRepresentation
bin11111001000010000001000
3120100120210000
4133020100020
54042112024
6450523000
7126234600
oct37102010
916316700
108160264
114673a22
122896460
1318c9378
141125c00
15ab2cc9
hex7c8408

8160264 has 120 divisors (see below), whose sum is σ = 26691390. Its totient is φ = 2322432.

The previous prime is 8160259. The next prime is 8160287. The reversal of 8160264 is 4620618.

It can be written as a sum of positive squares in only one way, i.e., 4588164 + 3572100 = 2142^2 + 1890^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31624 + ... + 31880.

Almost surely, 28160264 is an apocalyptic number.

8160264 is a gapful number since it is divisible by the number (84) 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 8160264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345695).

8160264 is an abundant number, since it is smaller than the sum of its proper divisors (18531126).

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

8160264 is a wasteful number, since it uses less digits than its factorization.

8160264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8160264 is about 2856.6175802862. The cubic root of 8160264 is about 201.3267130356.

The spelling of 8160264 in words is "eight million, one hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 257 294 324 378 392 441 504 514 567 588 648 756 771 882 1028 1134 1176 1323 1512 1542 1764 1799 2056 2268 2313 2646 3084 3528 3598 3969 4536 4626 5292 5397 6168 6939 7196 7938 9252 10584 10794 12593 13878 14392 15876 16191 18504 20817 21588 25186 27756 31752 32382 37779 41634 43176 48573 50372 55512 64764 75558 83268 97146 100744 113337 129528 145719 151116 166536 194292 226674 291438 302232 340011 388584 453348 582876 680022 906696 1020033 1165752 1360044 2040066 2720088 4080132 8160264