Search a number
-
+
126706848 = 2531724567
BaseRepresentation
bin1111000110101…
…10010010100000
322211102101010020
413203112102200
5224414104343
620323433440
73065663502
oct743262240
9284371106
10126706848
1165582804
1236525880
1320334888
1412b83d72
15b1ccb83
hex78d64a0

126706848 has 72 divisors (see below), whose sum is σ = 353398752. Its totient is φ = 39742464.

The previous prime is 126706841. The next prime is 126706859. The reversal of 126706848 is 848607621.

It is not an unprimeable number, because it can be changed into a prime (126706841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25461 + ... + 30027.

It is an arithmetic number, because the mean of its divisors is an integer number (4908316).

Almost surely, 2126706848 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 126706848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176699376).

126706848 is an abundant number, since it is smaller than the sum of its proper divisors (226691904).

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

126706848 is a wasteful number, since it uses less digits than its factorization.

126706848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 126706848 is about 11256.4136384552. The cubic root of 126706848 is about 502.2655166976.

The spelling of 126706848 in words is "one hundred twenty-six million, seven hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4567 4624 6936 9134 9248 13701 13872 18268 27402 27744 36536 54804 73072 77639 109608 146144 155278 219216 232917 310556 438432 465834 621112 931668 1242224 1319863 1863336 2484448 2639726 3726672 3959589 5279452 7453344 7919178 10558904 15838356 21117808 31676712 42235616 63353424 126706848