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126166680 = 23335197593
BaseRepresentation
bin1111000010100…
…10011010011000
322210101221011000
413201102122120
5224244313210
620304105000
73061253613
oct741223230
9283357130
10126166680
1165243992
1236305160
13201a5a53
1412a8317a
15b122ac0
hex7852698

126166680 has 128 divisors (see below), whose sum is σ = 423403200. Its totient is φ = 33417216.

The previous prime is 126166643. The next prime is 126166699. The reversal of 126166680 is 86661621.

It is a super-2 number, since 2×1261666802 = 31836062284444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 212464 + ... + 213056.

Almost surely, 2126166680 is an apocalyptic number.

126166680 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 126166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701600).

126166680 is an abundant number, since it is smaller than the sum of its proper divisors (297236520).

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

126166680 is a wasteful number, since it uses less digits than its factorization.

126166680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 126166680 is about 11232.3942238509. The cubic root of 126166680 is about 501.5507586561.

The spelling of 126166680 in words is "one hundred twenty-six million, one hundred sixty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 197 216 270 360 394 540 591 593 788 985 1080 1182 1186 1576 1773 1779 1970 2364 2372 2955 2965 3546 3558 3940 4728 4744 5319 5337 5910 5930 7092 7116 7880 8865 8895 10638 10674 11820 11860 14184 14232 16011 17730 17790 21276 21348 23640 23720 26595 26685 32022 35460 35580 42552 42696 53190 53370 64044 70920 71160 80055 106380 106740 116821 128088 160110 212760 213480 233642 320220 350463 467284 584105 640440 700926 934568 1051389 1168210 1401852 1752315 2102778 2336420 2803704 3154167 3504630 4205556 4672840 5256945 6308334 7009260 8411112 10513890 12616668 14018520 15770835 21027780 25233336 31541670 42055560 63083340 126166680