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153338980 = 22517450997
BaseRepresentation
bin10010010001111…
…00010001100100
3101200112102112111
421020330101210
5303223321410
623114330404
73541234264
oct1110742144
9350472474
10153338980
1179612933
1243429a04
13259ca932
14165177a4
15d6ddb8a
hex923c464

153338980 has 24 divisors (see below), whose sum is σ = 340954488. Its totient is φ = 57727488.

The previous prime is 153338971. The next prime is 153338981. The reversal of 153338980 is 89833351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 144624676 = 2952^2 + 12026^2 .

It is not an unprimeable number, because it can be changed into a prime (153338981) 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 7 ways as a sum of consecutive naturals, for example, 225159 + ... + 225838.

It is an arithmetic number, because the mean of its divisors is an integer number (14206437).

Almost surely, 2153338980 is an apocalyptic number.

153338980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153338980 is an abundant number, since it is smaller than the sum of its proper divisors (187615508).

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

153338980 is a wasteful number, since it uses less digits than its factorization.

153338980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451023 (or 451021 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 153338980 is about 12383.0117499742. The cubic root of 153338980 is about 535.2428280154.

The spelling of 153338980 in words is "one hundred fifty-three million, three hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 450997 901994 1803988 2254985 4509970 7666949 9019940 15333898 30667796 38334745 76669490 153338980