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126606564 = 2234755823
BaseRepresentation
bin1111000101111…
…01110011100100
322211020021120000
413202331303210
5224402402224
620321341300
73065065230
oct742756344
9284207500
10126606564
1165514427
1236497830
13202cb036
1412b595c0
15b1ad0c9
hex78bdce4

126606564 has 60 divisors (see below), whose sum is σ = 378263424. Its totient is φ = 36172656.

The previous prime is 126606539. The next prime is 126606569. The reversal of 126606564 is 465606621.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (126606569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25644 + ... + 30179.

Almost surely, 2126606564 is an apocalyptic number.

126606564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126606564 is an abundant number, since it is smaller than the sum of its proper divisors (251656860).

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

126606564 is a wasteful number, since it uses less digits than its factorization.

126606564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55846 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 126606564 is about 11251.9582295705. The cubic root of 126606564 is about 502.1329732448.

The spelling of 126606564 in words is "one hundred twenty-six million, six hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 55823 111646 167469 223292 334938 390761 502407 669876 781522 1004814 1172283 1507221 1563044 2009628 2344566 3014442 3516849 4521663 4689132 6028884 7033698 9043326 10550547 14067396 18086652 21101094 31651641 42202188 63303282 126606564