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2009115432 = 23321011731597
BaseRepresentation
bin111011111000000…
…1010101100101000
312012000111122020200
41313300022230220
513103313143212
6531210152200
7100534125252
oct16760125450
95160448220
102009115432
11941103185
12480a22660
132603193cc
14150b8ccd2
15bb5b36dc
hex77c0ab28

2009115432 has 96 divisors (see below), whose sum is σ = 5530454280. Its totient is φ = 658828800.

The previous prime is 2009115431. The next prime is 2009115457. The reversal of 2009115432 is 2345119002.

It can be written as a sum of positive squares in 4 ways, for example, as 2008294596 + 820836 = 44814^2 + 906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2009115396 and 2009115405.

It is not an unprimeable number, because it can be changed into a prime (2009115431) 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, 1257258 + ... + 1258854.

Almost surely, 22009115432 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 2009115432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765227140).

2009115432 is an abundant number, since it is smaller than the sum of its proper divisors (3521338848).

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

2009115432 is a wasteful number, since it uses less digits than its factorization.

2009115432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2009115432 is about 44823.1573185112. The cubic root of 2009115432 is about 1261.8322700055.

The spelling of 2009115432 in words is "two billion, nine million, one hundred fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 173 202 303 346 404 519 606 692 808 909 1038 1212 1384 1557 1597 1818 2076 2424 3114 3194 3636 4152 4791 6228 6388 7272 9582 12456 12776 14373 17473 19164 28746 34946 38328 52419 57492 69892 104838 114984 139784 157257 161297 209676 276281 314514 322594 419352 483891 552562 629028 645188 828843 967782 1105124 1258056 1290376 1451673 1657686 1935564 2210248 2486529 2903346 3315372 3871128 4973058 5806692 6630744 9946116 11613384 19892232 27904381 55808762 83713143 111617524 167426286 223235048 251139429 334852572 502278858 669705144 1004557716 2009115432