Search a number
-
+
427215360 = 29351113389
BaseRepresentation
bin11001011101101…
…100101000000000
31002202212210022010
4121131230220000
51333331342420
6110220412520
713405161555
oct3135545000
91082783263
10427215360
111aa174250
12bb0a7140
136a67cc70
1440a4aa2c
152778c4e0
hex1976ca00

427215360 has 320 divisors, whose sum is σ = 1608647040. Its totient is φ = 95354880.

The previous prime is 427215353. The next prime is 427215377. The reversal of 427215360 is 63512724.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098046 + ... + 1098434.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2427215360 is an apocalyptic number.

427215360 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 427215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

427215360 is an abundant number, since it is smaller than the sum of its proper divisors (1181431680).

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

427215360 is a wasteful number, since it uses less digits than its factorization.

427215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 427215360 is about 20669.1886633220. The cubic root of 427215360 is about 753.1513974896.

The spelling of 427215360 in words is "four hundred twenty-seven million, two hundred fifteen thousand, three hundred sixty".