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126484290 = 232511312437
BaseRepresentation
bin1111000100111…
…11111101000010
322211000001211100
413202133331002
5224334444130
620314555230
73064045602
oct742377502
9284001740
10126484290
1165440579
1236438b16
132028749a
1412b26c02
15b186c60
hex789ff42

126484290 has 48 divisors (see below), whose sum is σ = 331796088. Its totient is φ = 33427968.

The previous prime is 126484249. The next prime is 126484321. The reversal of 126484290 is 92484621.

126484290 is a `hidden beast` number, since 1 + 2 + 648 + 4 + 2 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27342441 + 99141849 = 5229^2 + 9957^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3952 + ... + 16388.

Almost surely, 2126484290 is an apocalyptic number.

126484290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126484290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165898044).

126484290 is an abundant number, since it is smaller than the sum of its proper divisors (205311798).

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

126484290 is a wasteful number, since it uses less digits than its factorization.

126484290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126484290 is about 11246.5234628306. The cubic root of 126484290 is about 501.9712712987.

It can be divided in two parts, 126 and 484290, that added together give a square (484416 = 6962).

The spelling of 126484290 in words is "one hundred twenty-six million, four hundred eighty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 12437 24874 37311 62185 74622 111933 124370 186555 223866 373110 559665 1119330 1405381 2810762 4216143 7026905 8432286 12648429 14053810 21080715 25296858 42161430 63242145 126484290