Search a number
-
+
155311128 = 23337591741
BaseRepresentation
bin10010100000111…
…01110000011000
3101211020121211000
421100131300120
5304224424003
623224505000
73564060060
oct1120356030
9354217730
10155311128
117a73a605
124401b160
132623b49b
14168ac3a0
15d97d1a3
hex941dc18

155311128 has 128 divisors (see below), whose sum is σ = 501696000. Its totient is φ = 43597440.

The previous prime is 155311103. The next prime is 155311129. The reversal of 155311128 is 821113551.

155311128 is a `hidden beast` number, since 1 + 5 + 531 + 1 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155311129) 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 31 ways as a sum of consecutive naturals, for example, 88338 + ... + 90078.

It is an arithmetic number, because the mean of its divisors is an integer number (3919500).

Almost surely, 2155311128 is an apocalyptic number.

155311128 is a gapful number since it is divisible by the number (18) 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 155311128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250848000).

155311128 is an abundant number, since it is smaller than the sum of its proper divisors (346384872).

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

155311128 is a wasteful number, since it uses less digits than its factorization.

155311128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

The product of its digits is 1200, while the sum is 27.

The square root of 155311128 is about 12462.3885351083. The cubic root of 155311128 is about 537.5277107040.

Adding to 155311128 its reverse (821113551), we get a palindrome (976424679).

The spelling of 155311128 in words is "one hundred fifty-five million, three hundred eleven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 59 63 72 84 108 118 126 168 177 189 216 236 252 354 378 413 472 504 531 708 756 826 1062 1239 1416 1512 1593 1652 1741 2124 2478 3186 3304 3482 3717 4248 4956 5223 6372 6964 7434 9912 10446 11151 12187 12744 13928 14868 15669 20892 22302 24374 29736 31338 36561 41784 44604 47007 48748 62676 73122 89208 94014 97496 102719 109683 125352 146244 188028 205438 219366 292488 308157 329049 376056 410876 438732 616314 658098 719033 821752 877464 924471 1232628 1316196 1438066 1848942 2157099 2465256 2632392 2773413 2876132 3697884 4314198 5546826 5752264 6471297 7395768 8628396 11093652 12942594 17256792 19413891 22187304 25885188 38827782 51770376 77655564 155311128