Search a number
-
+
423906560 = 28571121723
BaseRepresentation
bin11001010001000…
…100110100000000
31002112122200110222
4121101010310000
51332010002220
6110021442212
713335101120
oct3121046400
91075580428
10423906560
111a8314300
12b9b70368
1369a91bac
1440428c80
1527336e25
hex19444d00

423906560 has 432 divisors, whose sum is σ = 1409280768. Its totient is φ = 118947840.

The previous prime is 423906541. The next prime is 423906589. The reversal of 423906560 is 65609324.

It is a super-2 number, since 2×4239065602 = 359393543222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 423906560.

It is a congruent 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, 18430709 + ... + 18430731.

It is an arithmetic number, because the mean of its divisors is an integer number (3262224).

Almost surely, 2423906560 is an apocalyptic number.

423906560 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 423906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

423906560 is an abundant number, since it is smaller than the sum of its proper divisors (985374208).

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

423906560 is a wasteful number, since it uses less digits than its factorization.

423906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 423906560 is about 20588.9912331809. The cubic root of 423906560 is about 751.2019601009.

The spelling of 423906560 in words is "four hundred twenty-three million, nine hundred six thousand, five hundred sixty".