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155301120 = 28325131761
BaseRepresentation
bin10010100000110…
…11010100000000
3101211020010002100
421100123110000
5304224113440
623224350400
73564015642
oct1120332400
9354203070
10155301120
117a733037
1244015400
1326236a70
14168a8892
15d97a230
hex941b500

155301120 has 432 divisors, whose sum is σ = 622741392. Its totient is φ = 35389440.

The previous prime is 155301101. The next prime is 155301121. The reversal of 155301120 is 21103551.

155301120 is a `hidden beast` number, since 1 + 553 + 0 + 112 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25887744 + 129413376 = 5088^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 155301093 and 155301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155301121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545890 + ... + 2545950.

It is an arithmetic number, because the mean of its divisors is an integer number (1441531).

Almost surely, 2155301120 is an apocalyptic number.

155301120 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 155301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311370696).

155301120 is an abundant number, since it is smaller than the sum of its proper divisors (467440272).

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

155301120 is a wasteful number, since it uses less digits than its factorization.

155301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 155301120 is about 12461.9870004747. The cubic root of 155301120 is about 537.5161646482.

Adding to 155301120 its reverse (21103551), we get a palindrome (176404671).

The spelling of 155301120 in words is "one hundred fifty-five million, three hundred one thousand, one hundred twenty".