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126121554 = 232131573433
BaseRepresentation
bin1111000010001…
…11011001010010
322210022122020200
413201013121102
5224241342204
620303120030
73061005216
oct741073122
9283278220
10126121554
1165212a99
12362a3016
132018b350
1412a70946
15b114539
hex7847652

126121554 has 48 divisors (see below), whose sum is σ = 296244312. Its totient is φ = 38548224.

The previous prime is 126121553. The next prime is 126121559. The reversal of 126121554 is 455121621.

It can be written as a sum of positive squares in 4 ways, for example, as 63632529 + 62489025 = 7977^2 + 7905^2 .

It is not an unprimeable number, because it can be changed into a prime (126121553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35022 + ... + 38454.

Almost surely, 2126121554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126121554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148122156).

126121554 is an abundant number, since it is smaller than the sum of its proper divisors (170122758).

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

126121554 is a wasteful number, since it uses less digits than its factorization.

126121554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3608 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 126121554 is about 11230.3853006030. The cubic root of 126121554 is about 501.4909550205.

The spelling of 126121554 in words is "one hundred twenty-six million, one hundred twenty-one thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 157 234 314 471 942 1413 2041 2826 3433 4082 6123 6866 10299 12246 18369 20598 30897 36738 44629 61794 89258 133887 267774 401661 538981 803322 1077962 1616943 3233886 4850829 7006753 9701658 14013506 21020259 42040518 63060777 126121554