Search a number
-
+
415216260 = 22335977927
BaseRepresentation
bin11000101111111…
…011001010000100
31001221022011122000
4120233323022010
51322243410020
6105111305300
713201165014
oct3057731204
91057264560
10415216260
111a3419138
12b707b230
136803b4c4
143d205c44
15266bc090
hex18bfb284

415216260 has 96 divisors (see below), whose sum is σ = 1305265920. Its totient is φ = 109569024.

The previous prime is 415216259. The next prime is 415216261. The reversal of 415216260 is 62612514.

415216260 is a `hidden beast` number, since 4 + 15 + 21 + 626 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (415216259) and next prime (415216261).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (415216261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48417 + ... + 56343.

It is an arithmetic number, because the mean of its divisors is an integer number (13596520).

Almost surely, 2415216260 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 415216260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652632960).

415216260 is an abundant number, since it is smaller than the sum of its proper divisors (890049660).

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

415216260 is a wasteful number, since it uses less digits than its factorization.

415216260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 415216260 is about 20376.8559890872. The cubic root of 415216260 is about 746.0331356407.

Adding to 415216260 its reverse (62612514), we get a palindrome (477828774).

The spelling of 415216260 in words is "four hundred fifteen million, two hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 5238 5820 7927 8730 10476 13095 15854 17460 23781 26190 31708 39635 47562 52380 71343 79270 95124 118905 142686 158540 214029 237810 285372 356715 428058 475620 713430 768919 856116 1070145 1426860 1537838 2140290 2306757 3075676 3844595 4280580 4613514 6920271 7689190 9227028 11533785 13840542 15378380 20760813 23067570 27681084 34601355 41521626 46135140 69202710 83043252 103804065 138405420 207608130 415216260