Search a number
-
+
126043164 = 2232132937251
BaseRepresentation
bin1111000001101…
…00010000011100
322210011122201100
413200310100130
5224231340124
620301313100
73060230532
oct740642034
9283148640
10126043164
116516a105
1236265790
1320161770
1412a50152
15b0eb1c9
hex783441c

126043164 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 36288000.

The previous prime is 126043163. The next prime is 126043199. The reversal of 126043164 is 461340621.

It is a super-2 number, since 2×1260431642 = 31773758382261792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126043163) 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 47 ways as a sum of consecutive naturals, for example, 502039 + ... + 502289.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2126043164 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 126043164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

126043164 is an abundant number, since it is smaller than the sum of its proper divisors (239951556).

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

126043164 is a wasteful number, since it uses less digits than its factorization.

126043164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126043164 is about 11226.8946730608. The cubic root of 126043164 is about 501.3870340485.

Adding to 126043164 its reverse (461340621), we get a palindrome (587383785).

The spelling of 126043164 in words is "one hundred twenty-six million, forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 37 39 52 58 74 78 87 111 116 117 148 156 174 222 234 251 261 333 348 377 444 468 481 502 522 666 753 754 962 1004 1044 1073 1131 1332 1443 1506 1508 1924 2146 2259 2262 2886 3012 3219 3263 3393 4292 4329 4518 4524 5772 6438 6526 6786 7279 8658 9036 9287 9657 9789 12876 13052 13572 13949 14558 17316 18574 19314 19578 21837 27861 27898 29116 29367 37148 38628 39156 41847 43674 55722 55796 58734 65511 83583 83694 87348 94627 111444 117468 120731 125541 131022 167166 167388 189254 241462 251082 262044 269323 283881 334332 362193 378508 482924 502164 538646 567762 724386 807969 851643 1077292 1086579 1135524 1448772 1615938 1703286 2173158 2423907 3231876 3406572 3501199 4346316 4847814 7002398 9695628 10503597 14004796 21007194 31510791 42014388 63021582 126043164