Search a number
-
+
54270216 = 233371113251
BaseRepresentation
bin1100111100000…
…1100100001000
310210010012202000
43033001210020
5102343121331
65215111000
71226201130
oct317014410
9123105660
1054270216
11286a8020
1216212460
13b321c70
1472c9ac0
154b700e6
hex33c1908

54270216 has 256 divisors, whose sum is σ = 203212800. Its totient is φ = 12960000.

The previous prime is 54270197. The next prime is 54270217. The reversal of 54270216 is 61207245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54270216.

It is not an unprimeable number, because it can be changed into a prime (54270217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216091 + ... + 216341.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 254270216 is an apocalyptic number.

54270216 is a gapful number since it is divisible by the number (56) 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 54270216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

54270216 is an abundant number, since it is smaller than the sum of its proper divisors (148942584).

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

54270216 is a wasteful number, since it uses less digits than its factorization.

54270216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54270216 is about 7366.8321550039. The cubic root of 54270216 is about 378.6057307608.

The spelling of 54270216 in words is "fifty-four million, two hundred seventy thousand, two hundred sixteen".