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2052045030 = 235721973471
BaseRepresentation
bin111101001001111…
…1011100011100110
312022000021200120210
41322103323203212
513200310420110
6535342240250
7101565044400
oct17223734346
95260250523
102052045030
11963364892
12493286086
1326919a539
14156765b70
15c0243520
hex7a4fb8e6

2052045030 has 96 divisors (see below), whose sum is σ = 6030581760. Its totient is φ = 444346560.

The previous prime is 2052045029. The next prime is 2052045041. The reversal of 2052045030 is 305402502.

It is a super-3 number, since 3×20520450303 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2052044988 and 2052045006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8806 + ... + 64665.

It is an arithmetic number, because the mean of its divisors is an integer number (62818560).

Almost surely, 22052045030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052045030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015290880).

2052045030 is an abundant number, since it is smaller than the sum of its proper divisors (3978536730).

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

2052045030 is a wasteful number, since it uses less digits than its factorization.

2052045030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73514 (or 73507 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2052045030 is about 45299.5036396648. The cubic root of 2052045030 is about 1270.7563704880.

Adding to 2052045030 its reverse (305402502), we get a palindrome (2357447532).

The spelling of 2052045030 in words is "two billion, fifty-two million, forty-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 73471 146942 220413 367355 440826 514297 734710 1028594 1102065 1395949 1542891 2204130 2571485 2791898 3085782 3600079 4187847 5142970 6979745 7200158 7714455 8375694 9771643 10800237 13959490 15428910 18000395 19543286 20939235 21600474 29314929 36000790 41878470 48858215 54001185 58629858 68401501 97716430 108002370 136803002 146574645 205204503 293149290 342007505 410409006 684015010 1026022515 2052045030