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418130680 = 235117431279
BaseRepresentation
bin11000111011000…
…010101011111000
31002010210020110111
4120323002223320
51324020140210
6105253554104
713235023612
oct3073025370
91063706414
10418130680
111a5029850
12b8045934
136881bc06
143d763db2
1526a9588a
hex18ec2af8

418130680 has 64 divisors (see below), whose sum is σ = 1028505600. Its totient is φ = 151724160.

The previous prime is 418130591. The next prime is 418130693. The reversal of 418130680 is 86031814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326281 + ... + 327559.

It is an arithmetic number, because the mean of its divisors is an integer number (16070400).

Almost surely, 2418130680 is an apocalyptic number.

418130680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514252800).

418130680 is an abundant number, since it is smaller than the sum of its proper divisors (610374920).

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

418130680 is a wasteful number, since it uses less digits than its factorization.

418130680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 418130680 is about 20448.2439343822. The cubic root of 418130680 is about 747.7745467121.

The spelling of 418130680 in words is "four hundred eighteen million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 743 1279 1486 2558 2972 3715 5116 5944 6395 7430 8173 10232 12790 14069 14860 16346 25580 28138 29720 32692 40865 51160 56276 65384 70345 81730 112552 140690 163460 281380 326920 562760 950297 1900594 3801188 4751485 7602376 9502970 10453267 19005940 20906534 38011880 41813068 52266335 83626136 104532670 209065340 418130680