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106466280 = 23354347439
BaseRepresentation
bin1100101100010…
…00101111101000
321102100001021120
412112020233220
5204223410110
614321535240
72431643214
oct626105750
9242301246
10106466280
1155108768
122b7a4520
1319098acb
14101d5944
159530870
hex6588be8

106466280 has 128 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 27078912.

The previous prime is 106466273. The next prime is 106466281. The reversal of 106466280 is 82664601.

It is a happy number.

It is a super-2 number, since 2×1064662802 = 22670137554076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106466281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 242301 + ... + 242739.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2106466280 is an apocalyptic number.

106466280 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 106466280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

106466280 is an abundant number, since it is smaller than the sum of its proper divisors (228074520).

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

106466280 is a wasteful number, since it uses less digits than its factorization.

106466280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106466280 is about 10318.2498515979. The cubic root of 106466280 is about 473.9552736021.

The spelling of 106466280 in words is "one hundred six million, four hundred sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 47 60 86 94 120 129 141 172 188 215 235 258 282 344 376 430 439 470 516 564 645 705 860 878 940 1032 1128 1290 1317 1410 1720 1756 1880 2021 2195 2580 2634 2820 3512 4042 4390 5160 5268 5640 6063 6585 8084 8780 10105 10536 12126 13170 16168 17560 18877 20210 20633 24252 26340 30315 37754 40420 41266 48504 52680 56631 60630 61899 75508 80840 82532 94385 103165 113262 121260 123798 151016 165064 188770 206330 226524 242520 247596 283155 309495 377540 412660 453048 495192 566310 618990 755080 825320 887219 1132620 1237980 1774438 2265240 2475960 2661657 3548876 4436095 5323314 7097752 8872190 10646628 13308285 17744380 21293256 26616570 35488760 53233140 106466280