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2127000352 = 253712131481
BaseRepresentation
bin111111011000111…
…0111001100100000
312111020022210221211
41332301313030200
513324003002402
6551020555504
7103465130131
oct17661671440
95436283854
102127000352
119a16aa934
124b43b2b94
1327b8826b9
141626b7c88
15c6aec4d7
hex7ec77320

2127000352 has 48 divisors (see below), whose sum is σ = 4307160312. Its totient is φ = 1033205760.

The previous prime is 2127000349. The next prime is 2127000377. The reversal of 2127000352 is 2530007212.

It can be written as a sum of positive squares in 4 ways, for example, as 1651934736 + 475065616 = 40644^2 + 21796^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1435452 + ... + 1436932.

Almost surely, 22127000352 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 2127000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153580156).

2127000352 is an abundant number, since it is smaller than the sum of its proper divisors (2180159960).

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

2127000352 is a wasteful number, since it uses less digits than its factorization.

2127000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2127000352 is about 46119.4140465813. The cubic root of 2127000352 is about 1286.0440780895.

Adding to 2127000352 its reverse (2530007212), we get a palindrome (4657007564).

The spelling of 2127000352 in words is "two billion, one hundred twenty-seven million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1213 1481 2426 2962 4852 5924 9704 11848 19408 23696 38816 44881 47392 54797 89762 109594 179524 219188 359048 438376 718096 876752 1436192 1753504 1796453 3592906 7185812 14371624 28743248 57486496 66468761 132937522 265875044 531750088 1063500176 2127000352