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126907704 = 233271122081
BaseRepresentation
bin1111001000001…
…11010100111000
322211210120122100
413210013110320
5224442021304
620332023400
73100461210
oct744072470
9284716570
10126907704
11656aa700
1236601b60
13203a5121
1412bd7240
15b21c439
hex7907538

126907704 has 144 divisors (see below), whose sum is σ = 431973360. Its totient is φ = 32947200.

The previous prime is 126907667. The next prime is 126907709. The reversal of 126907704 is 407709621.

It is a happy number.

It is a super-2 number, since 2×1269077042 = 32211130669103232, 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 not an unprimeable number, because it can be changed into a prime (126907709) 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 35 ways as a sum of consecutive naturals, for example, 59944 + ... + 62024.

It is an arithmetic number, because the mean of its divisors is an integer number (2999815).

Almost surely, 2126907704 is an apocalyptic number.

126907704 is a gapful number since it is divisible by the number (14) 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 126907704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986680).

126907704 is an abundant number, since it is smaller than the sum of its proper divisors (305065656).

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

126907704 is a wasteful number, since it uses less digits than its factorization.

126907704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 126907704 is about 11265.3319524992. The cubic root of 126907704 is about 502.5307740862.

The spelling of 126907704 in words is "one hundred twenty-six million, nine hundred seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2081 2178 2541 2772 2904 3388 4162 4356 5082 5544 6243 6776 7623 8324 8712 10164 12486 14567 15246 16648 18729 20328 22891 24972 29134 30492 37458 43701 45782 49944 58268 60984 68673 74916 87402 91564 116536 131103 137346 149832 160237 174804 183128 206019 251801 262206 274692 320474 349608 412038 480711 503602 524412 549384 640948 755403 824076 961422 1007204 1048824 1281896 1442133 1510806 1648152 1762607 1922844 2014408 2266209 2884266 3021612 3525214 3845688 4532418 5287821 5768532 6043224 7050428 9064836 10575642 11537064 14100856 15863463 18129672 21151284 31726926 42302568 63453852 126907704