Search a number
-
+
411240126 = 231129375807
BaseRepresentation
bin11000100000110…
…000011010111110
31001122211011101210
4120200300122332
51320234141001
6104450145250
713122324543
oct3040603276
91048734353
10411240126
111a1152880
12b5882226
136727876b
143c88cbca
1526183dd6
hex188306be

411240126 has 64 divisors (see below), whose sum is σ = 953441280. Its totient is φ = 117048960.

The previous prime is 411240119. The next prime is 411240143. The reversal of 411240126 is 621042114.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 67915 + ... + 73721.

It is an arithmetic number, because the mean of its divisors is an integer number (14897520).

Almost surely, 2411240126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411240126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476720640).

411240126 is an abundant number, since it is smaller than the sum of its proper divisors (542201154).

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

411240126 is a wasteful number, since it uses less digits than its factorization.

411240126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 411240126 is about 20279.0563389917. The cubic root of 411240126 is about 743.6441420227.

The spelling of 411240126 in words is "four hundred eleven million, two hundred forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 37 58 66 74 87 111 174 222 319 407 638 814 957 1073 1221 1914 2146 2442 3219 5807 6438 11614 11803 17421 23606 34842 35409 63877 70818 127754 168403 191631 214859 336806 383262 429718 505209 644577 1010418 1289154 1852433 2363449 3704866 4726898 5557299 6230911 7090347 11114598 12461822 14180694 18692733 37385466 68540021 137080042 205620063 411240126