Search a number
-
+
419468130 = 2325193141193
BaseRepresentation
bin11001000000001…
…001001101100010
31002020022012002200
4121000021031202
51324340440010
6105342354030
713252264104
oct3100111542
91066265080
10419468130
111a5862684
12b858b916
1368b998c3
143d9d1574
1526c5bcc0
hex19009362

419468130 has 192 divisors, whose sum is σ = 1220244480. Its totient is φ = 99532800.

The previous prime is 419468069. The next prime is 419468131. The reversal of 419468130 is 31864914.

It is not an unprimeable number, because it can be changed into a prime (419468131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2173314 + ... + 2173506.

It is an arithmetic number, because the mean of its divisors is an integer number (6355440).

Almost surely, 2419468130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419468130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610122240).

419468130 is an abundant number, since it is smaller than the sum of its proper divisors (800776350).

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

419468130 is a wasteful number, since it uses less digits than its factorization.

419468130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 419468130 is about 20480.9211218636. The cubic root of 419468130 is about 748.5709856198.

The spelling of 419468130 in words is "four hundred nineteen million, four hundred sixty-eight thousand, one hundred thirty".