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126888612 = 223171921723
BaseRepresentation
bin1111001000000…
…10101010100100
322211202121110020
413210002222210
5224440413422
620331355140
73100351434
oct744025244
9284677406
10126888612
1165697324
12365b2ab0
1320399526
1412bd02c4
15b21695c
hex7902aa4

126888612 has 72 divisors (see below), whose sum is σ = 331049376. Its totient is φ = 37691136.

The previous prime is 126888607. The next prime is 126888613. The reversal of 126888612 is 216888621.

It is a super-2 number, since 2×1268886122 = 32201439710573088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126888613) 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 23 ways as a sum of consecutive naturals, for example, 72783 + ... + 74505.

It is an arithmetic number, because the mean of its divisors is an integer number (4597908).

Almost surely, 2126888612 is an apocalyptic number.

126888612 is a gapful number since it is divisible by the number (12) 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 126888612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165524688).

126888612 is an abundant number, since it is smaller than the sum of its proper divisors (204160764).

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

126888612 is a wasteful number, since it uses less digits than its factorization.

126888612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1764 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 126888612 is about 11264.4845421351. The cubic root of 126888612 is about 502.5055725725.

Subtracting 126888612 from its reverse (216888621), we obtain a palindrome (90000009).

The spelling of 126888612 in words is "one hundred twenty-six million, eight hundred eighty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 361 646 722 969 1083 1292 1444 1723 1938 2166 3446 3876 4332 5169 6137 6892 10338 12274 18411 20676 24548 29291 32737 36822 58582 65474 73644 87873 98211 117164 130948 175746 196422 351492 392844 556529 622003 1113058 1244006 1669587 1866009 2226116 2488012 3339174 3732018 6678348 7464036 10574051 21148102 31722153 42296204 63444306 126888612