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1002144160 = 25522328087
BaseRepresentation
bin111011101110111…
…000000110100000
32120211201012100101
4323232320012200
54023022103120
6243235232144
733556041043
oct7356700640
92524635311
101002144160
11474758816
1223b748654
1312c80b114
1497148c5a
155cea690a
hex3bbb81a0

1002144160 has 48 divisors (see below), whose sum is σ = 2378267136. Its totient is φ = 399045888.

The previous prime is 1002144139. The next prime is 1002144191. The reversal of 1002144160 is 614412001.

1002144160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21637 + ... + 49723.

It is an arithmetic number, because the mean of its divisors is an integer number (49547232).

Almost surely, 21002144160 is an apocalyptic number.

1002144160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189133568).

1002144160 is an abundant number, since it is smaller than the sum of its proper divisors (1376122976).

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

1002144160 is a wasteful number, since it uses less digits than its factorization.

1002144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28325 (or 28317 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1002144160 is about 31656.6605945731. The cubic root of 1002144160 is about 1000.7142097829.

Adding to 1002144160 its reverse (614412001), we get a palindrome (1616556161).

The spelling of 1002144160 in words is "one billion, two million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 28087 35680 56174 112348 140435 224696 280870 449392 561740 898784 1123480 2246960 4493920 6263401 12526802 25053604 31317005 50107208 62634010 100214416 125268020 200428832 250536040 501072080 1002144160