Search a number
-
+
3013020252 = 22321128127077
BaseRepresentation
bin1011001110010111…
…0000101001011100
321202222112021202200
42303211300221130
522132313122002
61214551251500
7134444151414
oct26345605134
97688467680
103013020252
111306853790
12701079b90
133902c2a28
14208235644
151297b6b1c
hexb3970a5c

3013020252 has 72 divisors (see below), whose sum is σ = 8338507632. Its totient is φ = 909753600.

The previous prime is 3013020251. The next prime is 3013020289. The reversal of 3013020252 is 2520203103.

3013020252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013020251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97738 + ... + 124814.

It is an arithmetic number, because the mean of its divisors is an integer number (115812606).

Almost surely, 23013020252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013020252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169253816).

3013020252 is an abundant number, since it is smaller than the sum of its proper divisors (5325487380).

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

3013020252 is a wasteful number, since it uses less digits than its factorization.

3013020252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27379 (or 27374 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3013020252 is about 54890.9851614999. The cubic root of 3013020252 is about 1444.3330538051. Note that the first 3 decimals are identical.

Adding to 3013020252 its reverse (2520203103), we get a palindrome (5533223355).

The spelling of 3013020252 in words is "three billion, thirteen million, twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1686 2529 3091 3372 5058 6182 9273 10116 12364 18546 27077 27819 37092 54154 55638 81231 108308 111276 162462 243693 297847 324924 487386 595694 893541 974772 1191388 1787082 2680623 3574164 5361246 7608637 10722492 15217274 22825911 30434548 45651822 68477733 83695007 91303644 136955466 167390014 251085021 273910932 334780028 502170042 753255063 1004340084 1506510126 3013020252