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2730715416 = 2335112131947
BaseRepresentation
bin1010001011000011…
…0110100100011000
321001022022201100000
42202300312210120
521043030343131
61130544413000
7124445461302
oct24260664430
97038281300
102730715416
111181465a00
12642617160
1334697c250
141bc94a972
1510eb00ce6
hexa2c36918

2730715416 has 576 divisors, whose sum is σ = 9759859200. Its totient is φ = 708238080.

The previous prime is 2730715409. The next prime is 2730715417. The reversal of 2730715416 is 6145170372.

It is a happy number.

It is a super-3 number, since 3×27307154163 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730715417) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 58100305 + ... + 58100351.

It is an arithmetic number, because the mean of its divisors is an integer number (16944200).

Almost surely, 22730715416 is an apocalyptic number.

2730715416 is a gapful number since it is divisible by the number (26) 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 2730715416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879929600).

2730715416 is an abundant number, since it is smaller than the sum of its proper divisors (7029143784).

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

2730715416 is a wasteful number, since it uses less digits than its factorization.

2730715416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2730715416 is about 52256.2476264800. The cubic root of 2730715416 is about 1397.7370611976.

Adding to 2730715416 its reverse (6145170372), we get a palindrome (8875885788).

The spelling of 2730715416 in words is "two billion, seven hundred thirty million, seven hundred fifteen thousand, four hundred sixteen".