Search a number
-
+
126641010 = 23537271421
BaseRepresentation
bin1111000110001…
…10001101110010
322211022000210210
413203012031302
5224410003020
620322204550
73065300526
oct743061562
9284260723
10126641010
11655382a1
12364b3756
1320310912
1412b67d86
15b1b83e0
hex78c6372

126641010 has 64 divisors (see below), whose sum is σ = 314049024. Its totient is φ = 32659200.

The previous prime is 126640993. The next prime is 126641071. The reversal of 126641010 is 10146621.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300600 + ... + 301020.

It is an arithmetic number, because the mean of its divisors is an integer number (4907016).

Almost surely, 2126641010 is an apocalyptic number.

126641010 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 126641010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157024512).

126641010 is an abundant number, since it is smaller than the sum of its proper divisors (187408014).

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

126641010 is a wasteful number, since it uses less digits than its factorization.

126641010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126641010 is about 11253.4887923701. The cubic root of 126641010 is about 502.1785077560.

Adding to 126641010 its reverse (10146621), we get a palindrome (136787631).

The spelling of 126641010 in words is "one hundred twenty-six million, six hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 271 370 421 542 555 813 842 1110 1263 1355 1626 2105 2526 2710 4065 4210 6315 8130 10027 12630 15577 20054 30081 31154 46731 50135 60162 77885 93462 100270 114091 150405 155770 228182 233655 300810 342273 467310 570455 684546 1140910 1711365 3422730 4221367 8442734 12664101 21106835 25328202 42213670 63320505 126641010