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126905884 = 2273175441
BaseRepresentation
bin1111001000001…
…10111000011100
322211210111010221
413210012320130
5224441442014
620332011124
73100453000
oct744067034
9284714127
10126905884
11656a92a6
1236600aa4
13203a4351
1412bd6700
15b21bb24
hex7906e1c

126905884 has 48 divisors (see below), whose sum is σ = 274276800. Its totient is φ = 51179520.

The previous prime is 126905843. The next prime is 126905887. The reversal of 126905884 is 488509621.

It is a happy number.

It is a super-2 number, since 2×1269058842 = 32210206787642912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126905884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126905887) 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 15 ways as a sum of consecutive naturals, for example, 20604 + ... + 26044.

It is an arithmetic number, because the mean of its divisors is an integer number (5714100).

Almost surely, 2126905884 is an apocalyptic number.

126905884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126905884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137138400).

126905884 is an abundant number, since it is smaller than the sum of its proper divisors (147370916).

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

126905884 is a wasteful number, since it uses less digits than its factorization.

126905884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 126905884 is about 11265.2511734093. The cubic root of 126905884 is about 502.5283717882.

The spelling of 126905884 in words is "one hundred twenty-six million, nine hundred five thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 3332 5441 5831 10882 11662 21764 23324 38087 76174 92497 152348 184994 266609 369988 533218 647479 1066436 1294958 1866263 2589916 3732526 4532353 7465052 9064706 18129412 31726471 63452942 126905884