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126420060 = 223513612657
BaseRepresentation
bin1111000100100…
…00010001011100
322210212210201110
413202100101130
5224330420220
620313342020
73063360414
oct742202134
9283783643
10126420060
11653a7298
1236407910
1320264190
1412b0b644
15b172be0
hex789045c

126420060 has 96 divisors (see below), whose sum is σ = 387600192. Its totient is φ = 30597120.

The previous prime is 126420031. The next prime is 126420071. The reversal of 126420060 is 60024621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46252 + ... + 48908.

It is an arithmetic number, because the mean of its divisors is an integer number (4037502).

Almost surely, 2126420060 is an apocalyptic number.

126420060 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 126420060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193800096).

126420060 is an abundant number, since it is smaller than the sum of its proper divisors (261180132).

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

126420060 is a wasteful number, since it uses less digits than its factorization.

126420060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 126420060 is about 11243.6675511152. The cubic root of 126420060 is about 501.8862882181.

Adding to 126420060 its reverse (60024621), we get a palindrome (186444681).

The spelling of 126420060 in words is "one hundred twenty-six million, four hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 61 65 78 122 130 156 183 195 244 260 305 366 390 610 732 780 793 915 1220 1586 1830 2379 2657 3172 3660 3965 4758 5314 7930 7971 9516 10628 11895 13285 15860 15942 23790 26570 31884 34541 39855 47580 53140 69082 79710 103623 138164 159420 162077 172705 207246 324154 345410 414492 486231 518115 648308 690820 810385 972462 1036230 1620770 1944924 2072460 2107001 2431155 3241540 4214002 4862310 6321003 8428004 9724620 10535005 12642006 21070010 25284012 31605015 42140020 63210030 126420060