Search a number
-
+
3004051520 = 26517335417
BaseRepresentation
bin1011001100001110…
…0011000001000000
321202100122121222102
42303003203001000
522123014122040
61214031125532
7134305005461
oct26303430100
97670577872
103004051520
111301788408
126ba0738a8
1338b4a26a2
14206d7cd68
15128ae4515
hexb30e3040

3004051520 has 56 divisors (see below), whose sum is σ = 7158846744. Its totient is φ = 1200705536.

The previous prime is 3004051517. The next prime is 3004051537. The reversal of 3004051520 is 251504003.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 2997781504 = 2504^2 + 54752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3004051492 and 3004051501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551852 + ... + 557268.

It is an arithmetic number, because the mean of its divisors is an integer number (127836549).

Almost surely, 23004051520 is an apocalyptic number.

It is an amenable number.

3004051520 is an abundant number, since it is smaller than the sum of its proper divisors (4154795224).

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

3004051520 is a wasteful number, since it uses less digits than its factorization.

3004051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3004051520 is about 54809.2284200389. The cubic root of 3004051520 is about 1442.8985341383.

Adding to 3004051520 its reverse (251504003), we get a palindrome (3255555523).

The spelling of 3004051520 in words is "three billion, four million, fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1733 3466 5417 6932 8665 10834 13864 17330 21668 27085 27728 34660 43336 54170 55456 69320 86672 108340 110912 138640 173344 216680 277280 346688 433360 554560 866720 1733440 9387661 18775322 37550644 46938305 75101288 93876610 150202576 187753220 300405152 375506440 600810304 751012880 1502025760 3004051520