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419913030 = 2355924021
BaseRepresentation
bin11001000001110…
…101110101000110
31002021010210101110
4121001311311012
51324444204110
6105400105450
713256126145
oct3101656506
91067123343
10419913030
111a6036969
12b8765286
1368cc4264
143daa975c
1526ce8a20
hex19075d46

419913030 has 48 divisors (see below), whose sum is σ = 1025416944. Its totient is φ = 110051520.

The previous prime is 419913029. The next prime is 419913041. The reversal of 419913030 is 30319914.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102420 + ... + 106440.

It is an arithmetic number, because the mean of its divisors is an integer number (21362853).

Almost surely, 2419913030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419913030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512708472).

419913030 is an abundant number, since it is smaller than the sum of its proper divisors (605503914).

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

419913030 is a wasteful number, since it uses less digits than its factorization.

419913030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 419913030 is about 20491.7795713305. The cubic root of 419913030 is about 748.8355441034.

The spelling of 419913030 in words is "four hundred nineteen million, nine hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 3481 4021 6962 8042 10443 12063 17405 20105 20886 24126 34810 40210 52215 60315 104430 120630 237239 474478 711717 1186195 1423434 2372390 3558585 7117170 13997101 27994202 41991303 69985505 83982606 139971010 209956515 419913030