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414500130 = 232511715897
BaseRepresentation
bin11000101101001…
…100010100100010
31001212221210021200
4120231030110202
51322103001010
6105044102030
713162123122
oct3055142442
91055853250
10414500130
111a2a7a0a0
12b6994916
1367b4a565
143d09ac82
15265c9cc0
hex18b4c522

414500130 has 96 divisors (see below), whose sum is σ = 1192434048. Its totient is φ = 99052800.

The previous prime is 414500111. The next prime is 414500167. The reversal of 414500130 is 31005414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67342 + ... + 73238.

It is an arithmetic number, because the mean of its divisors is an integer number (12421188).

Almost surely, 2414500130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414500130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596217024).

414500130 is an abundant number, since it is smaller than the sum of its proper divisors (777933918).

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

414500130 is a wasteful number, since it uses less digits than its factorization.

414500130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 414500130 is about 20359.2762641505. The cubic root of 414500130 is about 745.6039904759.

Adding to 414500130 its reverse (31005414), we get a palindrome (445505544).

The spelling of 414500130 in words is "four hundred fourteen million, five hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 2130 2343 3195 3905 4686 5897 6390 7029 7810 11715 11794 14058 17691 23430 29485 35145 35382 53073 58970 64867 70290 88455 106146 129734 176910 194601 265365 324335 389202 418687 530730 583803 648670 837374 973005 1167606 1256061 1946010 2093435 2512122 2919015 3768183 4186870 4605557 5838030 6280305 7536366 9211114 12560610 13816671 18840915 23027785 27633342 37681830 41450013 46055570 69083355 82900026 138166710 207250065 414500130