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2006140352 = 261717910301
BaseRepresentation
bin111011110010011…
…0100010111000000
312011210220111012112
41313210310113000
513102032442402
6531022314452
7100466624456
oct16744642700
95153814175
102006140352
1193a460a37
1247ba28a28
1325c8171c8
141506169d6
15bb1c6e52
hex779345c0

2006140352 has 56 divisors (see below), whose sum is σ = 4239066960. Its totient is φ = 938700800.

The previous prime is 2006140343. The next prime is 2006140363. The reversal of 2006140352 is 2530416002.

It is a super-2 number, since 2×20061403522 = 8049198223845367808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189602 + ... + 199902.

Almost surely, 22006140352 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 2006140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119533480).

2006140352 is an abundant number, since it is smaller than the sum of its proper divisors (2232926608).

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

2006140352 is a wasteful number, since it uses less digits than its factorization.

2006140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2006140352 is about 44789.9581602841. The cubic root of 2006140352 is about 1261.2091257095.

Adding to 2006140352 its reverse (2530416002), we get a palindrome (4536556354).

The spelling of 2006140352 in words is "two billion, six million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 179 272 358 544 716 1088 1432 2864 3043 5728 6086 10301 11456 12172 20602 24344 41204 48688 82408 97376 164816 175117 194752 329632 350234 659264 700468 1400936 1843879 2801872 3687758 5603744 7375516 11207488 14751032 29502064 31345943 59004128 62691886 118008256 125383772 250767544 501535088 1003070176 2006140352