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4402135120 = 24555026689
BaseRepresentation
bin1000001100110001…
…10100000001010000
3102100210101122010111
410012120310001100
533003421310440
62004453011104
7214042350115
oct40630640120
912323348114
104402135120
1119599882a9
12a2a323a94
1355202caa6
142da91290c
151ab70b4ea
hex106634050

4402135120 has 20 divisors (see below), whose sum is σ = 10234964340. Its totient is φ = 1760854016.

The previous prime is 4402135097. The next prime is 4402135121. The reversal of 4402135120 is 215312044.

It can be written as a sum of positive squares in 2 ways, for example, as 3332060176 + 1070074944 = 57724^2 + 32712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×44021351202 = 38757587229474828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4402135091 and 4402135100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402135121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27513265 + ... + 27513424.

It is an arithmetic number, because the mean of its divisors is an integer number (511748217).

Almost surely, 24402135120 is an apocalyptic number.

4402135120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4402135120 is an abundant number, since it is smaller than the sum of its proper divisors (5832829220).

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

4402135120 is a wasteful number, since it uses less digits than its factorization.

4402135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55026702 (or 55026696 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4402135120 is about 66348.5879277020. The cubic root of 4402135120 is about 1638.9075512540.

Adding to 4402135120 its reverse (215312044), we get a palindrome (4617447164).

The spelling of 4402135120 in words is "four billion, four hundred two million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 55026689 110053378 220106756 275133445 440213512 550266890 880427024 1100533780 2201067560 4402135120