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8260164 = 22331117409
BaseRepresentation
bin11111100000101001000100
3120112122211000
4133200221010
54103311124
6453013300
7130132053
oct37405104
916478730
108260164
114731a90
122924230
131932993
14115039a
15ad26c9
hex7e0a44

8260164 has 96 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 2350080.

The previous prime is 8260127. The next prime is 8260201. The reversal of 8260164 is 4610628.

It is an interprime number because it is at equal distance from previous prime (8260127) and next prime (8260201).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19992 + ... + 20400.

It is an arithmetic number, because the mean of its divisors is an integer number (258300).

Almost surely, 28260164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

8260164 is an abundant number, since it is smaller than the sum of its proper divisors (16536636).

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

8260164 is a wasteful number, since it uses less digits than its factorization.

8260164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

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

The square root of 8260164 is about 2874.0501039474. The cubic root of 8260164 is about 202.1449471057.

The spelling of 8260164 in words is "eight million, two hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 409 459 561 594 612 748 818 918 1122 1188 1227 1636 1683 1836 2244 2454 3366 3681 4499 4908 5049 6732 6953 7362 8998 10098 11043 13497 13906 14724 17996 20196 20859 22086 26994 27812 40491 41718 44172 53988 62577 76483 80982 83436 121473 125154 152966 161964 187731 229449 242946 250308 305932 375462 458898 485892 688347 750924 917796 1376694 2065041 2753388 4130082 8260164