Search a number
-
+
126909276 = 223131077603
BaseRepresentation
bin1111001000001…
…11101101011100
322211210122210120
413210013231130
5224442044101
620332034540
73100465614
oct744075534
9284718716
10126909276
11657008aa
1236602a50
13203a5a60
1412bd7a44
15b21cb36
hex7907b5c

126909276 has 48 divisors (see below), whose sum is σ = 321922944. Its totient is φ = 38678976.

The previous prime is 126909253. The next prime is 126909329. The reversal of 126909276 is 672909621.

It is a super-2 number, since 2×1269092762 = 32211928669688352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12891 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (6706728).

Almost surely, 2126909276 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 126909276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160961472).

126909276 is an abundant number, since it is smaller than the sum of its proper divisors (195013668).

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

126909276 is a wasteful number, since it uses less digits than its factorization.

126909276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 126909276 is about 11265.4017238623. The cubic root of 126909276 is about 502.5328490196.

The spelling of 126909276 in words is "one hundred twenty-six million, nine hundred nine thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 7603 8346 15206 16692 22809 30412 45618 91236 98839 197678 296517 395356 593034 813521 1186068 1627042 2440563 3254084 4881126 9762252 10575773 21151546 31727319 42303092 63454638 126909276