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126834006 = 23131923612
BaseRepresentation
bin1111000111101…
…01010101010110
322211122211112210
413203311111112
5224432142011
620330254250
73100033305
oct743652526
9284584483
10126834006
116565a2a2
1236587386
132037a710
1412bb843c
15b2056a6
hex78f5556

126834006 has 96 divisors (see below), whose sum is σ = 305061120. Its totient is φ = 34784640.

The previous prime is 126833977. The next prime is 126834017. The reversal of 126834006 is 600438621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079216 + ... + 2079276.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2126834006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126834006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152530560).

126834006 is an abundant number, since it is smaller than the sum of its proper divisors (178227114).

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

126834006 is a wasteful number, since it uses less digits than its factorization.

126834006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 126834006 is about 11262.0604686709. The cubic root of 126834006 is about 502.4334784841.

The spelling of 126834006 in words is "one hundred twenty-six million, eight hundred thirty-four thousand, six".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 61 69 78 114 122 138 183 247 299 366 437 494 598 741 793 874 897 1159 1311 1403 1482 1586 1794 2318 2379 2622 2806 3477 3721 4209 4758 5681 6954 7442 8418 11163 11362 15067 17043 18239 22326 26657 30134 34086 36478 45201 48373 53314 54717 70699 79971 85583 90402 96746 109434 141398 145119 159942 171166 212097 256749 290238 346541 424194 513498 693082 919087 1039623 1112579 1626077 1838174 2079246 2225158 2757261 3252154 3337737 4878231 5514522 6675474 9756462 21139001 42278002 63417003 126834006