Search a number
-
+
155100042 = 23367163263
BaseRepresentation
bin10010011111010…
…10001110001010
3101210211220021000
421033222032022
5304201200132
623220155430
73562220466
oct1117521612
9353756230
10155100042
117a605a59
1243b38b76
1326196396
14168554a6
15d93a87c
hex93ea38a

155100042 has 64 divisors (see below), whose sum is σ = 353295360. Its totient is φ = 50423472.

The previous prime is 155100013. The next prime is 155100073. The reversal of 155100042 is 240001551.

155100042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 155099988 and 155100024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589603 + ... + 589865.

It is an arithmetic number, because the mean of its divisors is an integer number (5520240).

Almost surely, 2155100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176647680).

155100042 is an abundant number, since it is smaller than the sum of its proper divisors (198195318).

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

155100042 is a wasteful number, since it uses less digits than its factorization.

155100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 155100042 is about 12453.9167333012. The cubic root of 155100042 is about 537.2840792731.

Adding to 155100042 its reverse (240001551), we get a palindrome (395101593).

The spelling of 155100042 in words is "one hundred fifty-five million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 163 201 263 326 402 489 526 603 789 978 1206 1467 1578 1809 2367 2934 3618 4401 4734 7101 8802 10921 14202 17621 21842 32763 35242 42869 52863 65526 85738 98289 105726 128607 158589 196578 257214 294867 317178 385821 475767 589734 771642 951534 1157463 2314926 2872223 5744446 8616669 17233338 25850007 51700014 77550021 155100042