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2052012006 = 2321111878731
BaseRepresentation
bin111101001001111…
…0011011111100110
312022000020000021200
41322103303133212
513200303341011
6535341423330
7101564546202
oct17223633746
95260200250
102052012006
11963341aa0
1249326ab46
132691884b5
14156757b02
15c0238856
hex7a4f37e6

2052012006 has 48 divisors (see below), whose sum is σ = 4854852288. Its totient is φ = 621226800.

The previous prime is 2052011981. The next prime is 2052012007. The reversal of 2052012006 is 6002102502.

2052012006 is a `hidden beast` number, since 20 + 520 + 120 + 0 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2052012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052012007) 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, 230661 + ... + 239391.

It is an arithmetic number, because the mean of its divisors is an integer number (101142756).

Almost surely, 22052012006 is an apocalyptic number.

2052012006 is an abundant number, since it is smaller than the sum of its proper divisors (2802840282).

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

2052012006 is a wasteful number, since it uses less digits than its factorization.

2052012006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9937 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2052012006 is about 45299.1391308930. The cubic root of 2052012006 is about 1270.7495536000.

Adding to 2052012006 its reverse (6002102502), we get a palindrome (8054114508).

The spelling of 2052012006 in words is "two billion, fifty-two million, twelve thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1187 2374 3561 7122 8731 10683 13057 17462 21366 26114 26193 39171 52386 78342 78579 96041 117513 157158 192082 235026 288123 576246 864369 1728738 10363697 20727394 31091091 62182182 93273273 114000667 186546546 228001334 342002001 684004002 1026006003 2052012006