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2007051172 = 227229334949
BaseRepresentation
bin111011110100001…
…0010101110100100
312011212121202121121
41313220102232210
513102301114142
6531054023324
7100510440100
oct16750225644
95155552547
102007051172
1193aa23285
124801a7b44
1325ca75959
141507b2900
15bb306c67
hex77a12ba4

2007051172 has 36 divisors (see below), whose sum is σ = 4099844700. Its totient is φ = 857204544.

The previous prime is 2007051157. The next prime is 2007051173. The reversal of 2007051172 is 2711507002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 973814436 + 1033236736 = 31206^2 + 32144^2 .

It is not an unprimeable number, because it can be changed into a prime (2007051173) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39954 + ... + 74902.

It is an arithmetic number, because the mean of its divisors is an integer number (113884575).

Almost surely, 22007051172 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 2007051172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049922350).

2007051172 is an abundant number, since it is smaller than the sum of its proper divisors (2092793528).

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

2007051172 is a wasteful number, since it uses less digits than its factorization.

2007051172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35260 (or 35251 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 2007051172 is about 44800.1246873265. The cubic root of 2007051172 is about 1261.3999665764.

Adding to 2007051172 its reverse (2711507002), we get a palindrome (4718558174).

The spelling of 2007051172 in words is "two billion, seven million, fifty-one thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 196 293 586 1172 2051 4102 8204 14357 28714 34949 57428 69898 139796 244643 489286 978572 1712501 3425002 6850004 10240057 20480114 40960228 71680399 143360798 286721596 501762793 1003525586 2007051172