Search a number
-
+
55130868 = 2235134363
BaseRepresentation
bin1101001001001…
…1101011110100
310211201221100000
43102103223310
5103103141433
65245351300
71236414252
oct322235364
9124657300
1055130868
1129135701
1216568530
13b563920
1474715d2
154c90113
hex3493af4

55130868 has 72 divisors (see below), whose sum is σ = 155672608. Its totient is φ = 16959456.

The previous prime is 55130863. The next prime is 55130893. The reversal of 55130868 is 86803155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55130863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10455 + ... + 14817.

Almost surely, 255130868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55130868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77836304).

55130868 is an abundant number, since it is smaller than the sum of its proper divisors (100541740).

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

55130868 is a wasteful number, since it uses less digits than its factorization.

55130868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55130868 is about 7425.0163636183. The cubic root of 55130868 is about 380.5966343005.

The spelling of 55130868 in words is "fifty-five million, one hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 4363 6318 8726 12636 13089 17452 26178 39267 52356 56719 78534 113438 117801 157068 170157 226876 235602 340314 353403 471204 510471 680628 706806 1020942 1060209 1413612 1531413 2041884 2120418 3062826 4240836 4594239 6125652 9188478 13782717 18376956 27565434 55130868