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1200002144 = 251111330169
BaseRepresentation
bin100011110000110…
…1001010001100000
310002122000102110212
41013201221101200
54424200032034
6315024113252
741510564345
oct10741512140
93078012425
101200002144
11566408410
12295a65828
131617c5453
14b55307cc
157053b2ce
hex47869460

1200002144 has 48 divisors (see below), whose sum is σ = 2600171280. Its totient is φ = 540610560.

The previous prime is 1200002143. The next prime is 1200002147. The reversal of 1200002144 is 4412000021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200002143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24692 + ... + 54860.

It is an arithmetic number, because the mean of its divisors is an integer number (54170235).

Almost surely, 21200002144 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 1200002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300085640).

1200002144 is an abundant number, since it is smaller than the sum of its proper divisors (1400169136).

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

1200002144 is a wasteful number, since it uses less digits than its factorization.

1200002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30303 (or 30295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1200002144 is about 34641.0470973382. The cubic root of 1200002144 is about 1062.6592020544.

Adding to 1200002144 its reverse (4412000021), we get a palindrome (5612002165).

The spelling of 1200002144 in words is "one billion, two hundred million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 176 226 352 452 904 1243 1808 2486 3616 4972 9944 19888 30169 39776 60338 120676 241352 331859 482704 663718 965408 1327436 2654872 3409097 5309744 6818194 10619488 13636388 27272776 37500067 54545552 75000134 109091104 150000268 300000536 600001072 1200002144