Search a number
-
+
2747669040 = 243551943173
BaseRepresentation
bin1010001111000110…
…0001101000110000
321002111020001100000
42203301201220300
521111400402130
61132352030000
7125042541624
oct24361415060
97074201300
102747669040
11118aa95466
12648232300
1334a336b8c
141c0cc1184
1511134e260
hexa3c61a30

2747669040 has 480 divisors, whose sum is σ = 10366836480. Its totient is φ = 674085888.

The previous prime is 2747669009. The next prime is 2747669053. The reversal of 2747669040 is 409667472.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15882394 + ... + 15882566.

It is an arithmetic number, because the mean of its divisors is an integer number (21597576).

Almost surely, 22747669040 is an apocalyptic number.

2747669040 is a gapful number since it is divisible by the number (20) 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 2747669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183418240).

2747669040 is an abundant number, since it is smaller than the sum of its proper divisors (7619167440).

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

2747669040 is a wasteful number, since it uses less digits than its factorization.

2747669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2747669040 is about 52418.2128653772. The cubic root of 2747669040 is about 1400.6237084874.

The spelling of 2747669040 in words is "two billion, seven hundred forty-seven million, six hundred sixty-nine thousand, forty".