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126298880 = 285791249
BaseRepresentation
bin1111000011100…
…10101100000000
322210122122111022
413201302230000
5224313031010
620311005012
73062344211
oct741625400
9283578438
10126298880
1165324244
1236369768
1320220c86
1412ab9408
15b14bd55
hex7872b00

126298880 has 72 divisors (see below), whose sum is σ = 306600000. Its totient is φ = 49840128.

The previous prime is 126298849. The next prime is 126298883. The reversal of 126298880 is 88892621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126298883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100496 + ... + 101744.

Almost surely, 2126298880 is an apocalyptic number.

126298880 is a gapful number since it is divisible by the number (10) 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 126298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153300000).

126298880 is an abundant number, since it is smaller than the sum of its proper divisors (180301120).

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

126298880 is an equidigital number, since it uses as much as digits as its factorization.

126298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 126298880 is about 11238.2774480790. The cubic root of 126298880 is about 501.7258758507.

The spelling of 126298880 in words is "one hundred twenty-six million, two hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1249 1264 1280 1580 2498 2528 3160 4996 5056 6245 6320 9992 10112 12490 12640 19984 20224 24980 25280 39968 49960 50560 79936 98671 99920 101120 159872 197342 199840 319744 394684 399680 493355 789368 799360 986710 1578736 1598720 1973420 3157472 3946840 6314944 7893680 12629888 15787360 25259776 31574720 63149440 126298880