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901980729 = 321352114797
BaseRepresentation
bin110101110000110…
…010001000111001
32022212020100221200
4311300302020321
53321401340404
6225300324413
731231465266
oct6560621071
92285210850
10901980729
11423165521
122120a3709
13114b3b110
1487b1426d
15542bd839
hex35c32239

901980729 has 24 divisors (see below), whose sum is σ = 1405869192. Its totient is φ = 553962240.

The previous prime is 901980727. The next prime is 901980763. The reversal of 901980729 is 927089109.

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 901620729 = 600^2 + 30027^2 .

It is not a de Polignac number, because 901980729 - 21 = 901980727 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (901980727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53559 + ... + 68355.

It is an arithmetic number, because the mean of its divisors is an integer number (58577883).

Almost surely, 2901980729 is an apocalyptic number.

It is an amenable number.

901980729 is a deficient number, since it is larger than the sum of its proper divisors (503888463).

901980729 is a wasteful number, since it uses less digits than its factorization.

901980729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15334 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 901980729 is about 30032.9940065921. The cubic root of 901980729 is about 966.1971518697.

The spelling of 901980729 in words is "nine hundred one million, nine hundred eighty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 13 39 117 521 1563 4689 6773 14797 20319 44391 60957 133173 192361 577083 1731249 7709237 23127711 69383133 100220081 300660243 901980729