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155306020 = 22529377237
BaseRepresentation
bin10010100000111…
…00100000100100
3101211020100210211
421100130200210
5304224243040
623224425204
73564036142
oct1120344044
9354210724
10155306020
117a736791
1244018204
132623906c
14168aa592
15d97b8ea
hex941c824

155306020 has 48 divisors (see below), whose sum is σ = 346555440. Its totient is φ = 58351104.

The previous prime is 155305993. The next prime is 155306027. The reversal of 155306020 is 20603551.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9572836 + 145733184 = 3094^2 + 12072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 155305982 and 155306000.

It is not an unprimeable number, because it can be changed into a prime (155306027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17842 + ... + 25078.

It is an arithmetic number, because the mean of its divisors is an integer number (7219905).

Almost surely, 2155306020 is an apocalyptic number.

155306020 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 155306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173277720).

155306020 is an abundant number, since it is smaller than the sum of its proper divisors (191249420).

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

155306020 is a wasteful number, since it uses less digits than its factorization.

155306020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 155306020 is about 12462.1835967859. The cubic root of 155306020 is about 537.5218177551.

Adding to 155306020 its reverse (20603551), we get a palindrome (175909571).

It can be divided in two parts, 15 and 5306020, that added together give a palindrome (5306035).

The spelling of 155306020 in words is "one hundred fifty-five million, three hundred six thousand, twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 7237 10730 14474 21460 28948 36185 72370 144740 209873 267769 419746 535538 839492 1049365 1071076 1338845 2098730 2677690 4197460 5355380 7765301 15530602 31061204 38826505 77653010 155306020