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126422912 = 27711101127
BaseRepresentation
bin1111000100100…
…00111110000000
322210212221122002
413202100332000
5224331013122
620313403132
73063401630
oct742207600
9283787562
10126422912
11653a9450
12364094a8
1320265575
1412b0c6c0
15b173992
hex7890f80

126422912 has 128 divisors (see below), whose sum is σ = 319610880. Its totient is φ = 48384000.

The previous prime is 126422911. The next prime is 126422917. The reversal of 126422912 is 219224621.

126422912 = T23 + T24 + ... + T911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126422911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995393 + ... + 995519.

It is an arithmetic number, because the mean of its divisors is an integer number (2496960).

Almost surely, 2126422912 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 126422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805440).

126422912 is an abundant number, since it is smaller than the sum of its proper divisors (193187968).

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

126422912 is a wasteful number, since it uses less digits than its factorization.

126422912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 126422912 is about 11243.7943773443. The cubic root of 126422912 is about 501.8900623262.

The spelling of 126422912 in words is "one hundred twenty-six million, four hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 127 128 154 176 202 224 254 308 352 404 448 508 616 704 707 808 889 896 1016 1111 1232 1397 1408 1414 1616 1778 2032 2222 2464 2794 2828 3232 3556 4064 4444 4928 5588 5656 6464 7112 7777 8128 8888 9779 9856 11176 11312 12827 12928 14224 15554 16256 17776 19558 22352 22624 25654 28448 31108 35552 39116 44704 45248 51308 56896 62216 71104 78232 89408 89789 90496 102616 113792 124432 141097 142208 156464 178816 179578 205232 248864 282194 312928 359156 410464 497728 564388 625856 718312 820928 987679 995456 1128776 1251712 1436624 1641856 1975358 2257552 2873248 3950716 4515104 5746496 7901432 9030208 11492992 15802864 18060416 31605728 63211456 126422912