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414050260 = 2251331471093
BaseRepresentation
bin11000101011011…
…110011111010100
31001212002221011211
4120223132133110
51321444102020
6105030311204
713155240421
oct3053363724
91055087154
10414050260
111a27a20a8
12b67b8504
1367a20870
143cdc0d48
152653b85a
hex18ade7d4

414050260 has 96 divisors (see below), whose sum is σ = 988065792. Its totient is φ = 144668160.

The previous prime is 414050243. The next prime is 414050269. The reversal of 414050260 is 62050414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414050269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378274 + ... + 379366.

It is an arithmetic number, because the mean of its divisors is an integer number (10292352).

Almost surely, 2414050260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414050260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494032896).

414050260 is an abundant number, since it is smaller than the sum of its proper divisors (574015532).

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

414050260 is a wasteful number, since it uses less digits than its factorization.

414050260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 414050260 is about 20348.2249840127. The cubic root of 414050260 is about 745.3341503599.

The spelling of 414050260 in words is "four hundred fourteen million, fifty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 31 47 52 62 65 94 124 130 155 188 235 260 310 403 470 611 620 806 940 1093 1222 1457 1612 2015 2186 2444 2914 3055 4030 4372 5465 5828 6110 7285 8060 10930 12220 14209 14570 18941 21860 28418 29140 33883 37882 51371 56836 67766 71045 75764 94705 102742 135532 142090 169415 189410 205484 256855 284180 338830 378820 440479 513710 667823 677660 880958 1027420 1335646 1592501 1761916 2202395 2671292 3185002 3339115 4404790 6370004 6678230 7962505 8809580 13356460 15925010 20702513 31850020 41405026 82810052 103512565 207025130 414050260