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166485280 = 25513247131
BaseRepresentation
bin10011110110001…
…01110100100000
3102121021022212111
421323011310200
5320110012110
624304205104
74061046553
oct1173056440
9377238774
10166485280
1185a81945
1247909794
1328651600
141817a69a
15e938e8a
hex9ec5d20

166485280 has 144 divisors (see below), whose sum is σ = 438286464. Its totient is φ = 59704320.

The previous prime is 166485251. The next prime is 166485313. The reversal of 166485280 is 82584661.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270815 + ... + 1270945.

It is an arithmetic number, because the mean of its divisors is an integer number (3043656).

Almost surely, 2166485280 is an apocalyptic number.

166485280 is a gapful number since it is divisible by the number (10) 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 166485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219143232).

166485280 is an abundant number, since it is smaller than the sum of its proper divisors (271801184).

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

166485280 is a wasteful number, since it uses less digits than its factorization.

166485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 166485280 is about 12902.9174995425. The cubic root of 166485280 is about 550.1214938215.

The spelling of 166485280 in words is "one hundred sixty-six million, four hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 131 160 169 188 208 235 260 262 338 376 416 470 520 524 611 655 676 752 845 940 1040 1048 1222 1310 1352 1504 1690 1703 1880 2080 2096 2444 2620 2704 3055 3380 3406 3760 4192 4888 5240 5408 6110 6157 6760 6812 7520 7943 8515 9776 10480 12220 12314 13520 13624 15886 17030 19552 20960 22139 24440 24628 27040 27248 30785 31772 34060 39715 44278 48880 49256 54496 61570 63544 68120 79430 80041 88556 97760 98512 110695 123140 127088 136240 158860 160082 177112 197024 221390 246280 254176 272480 317720 320164 354224 400205 442780 492560 635440 640328 708448 800410 885560 985120 1040533 1270880 1280656 1600820 1771120 2081066 2561312 3201640 3542240 4162132 5202665 6403280 8324264 10405330 12806560 16648528 20810660 33297056 41621320 83242640 166485280