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153002320 = 2451912529
BaseRepresentation
bin10010001111010…
…10000101010000
3101122220022201121
421013222011100
5303132033240
623103212024
73535332622
oct1107520520
9348808647
10153002320
11794029a9
12432a7014
1325910623
141646ac12
15d67404a
hex91ea150

153002320 has 20 divisors (see below), whose sum is σ = 355730580. Its totient is φ = 61200896.

The previous prime is 153002293. The next prime is 153002323. The reversal of 153002320 is 23200351.

It can be written as a sum of positive squares in 2 ways, for example, as 108326464 + 44675856 = 10408^2 + 6684^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 153002294 and 153002303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153002323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 956185 + ... + 956344.

It is an arithmetic number, because the mean of its divisors is an integer number (17786529).

Almost surely, 2153002320 is an apocalyptic number.

153002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153002320 is an abundant number, since it is smaller than the sum of its proper divisors (202728260).

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

153002320 is a wasteful number, since it uses less digits than its factorization.

153002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912542 (or 1912536 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 153002320 is about 12369.4106569392. The cubic root of 153002320 is about 534.8508274821.

Adding to 153002320 its reverse (23200351), we get a palindrome (176202671).

The spelling of 153002320 in words is "one hundred fifty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1912529 3825058 7650116 9562645 15300232 19125290 30600464 38250580 76501160 153002320