Search a number
-
+
55112120 = 23571491321
BaseRepresentation
bin1101001000111…
…1000110111000
310211200222121122
43102033012320
5103102041440
65245124412
71236305510
oct322170670
9124628548
1055112120
1129122608
1216559708
13b55822b
147468840
154c897b5
hex348f1b8

55112120 has 64 divisors (see below), whose sum is σ = 142776000. Its totient is φ = 18754560.

The previous prime is 55112119. The next prime is 55112137. The reversal of 55112120 is 2121155.

55112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41060 + ... + 42380.

It is an arithmetic number, because the mean of its divisors is an integer number (2230875).

Almost surely, 255112120 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 55112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71388000).

55112120 is an abundant number, since it is smaller than the sum of its proper divisors (87663880).

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

55112120 is a wasteful number, since it uses less digits than its factorization.

55112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 55112120 is about 7423.7537674683. The cubic root of 55112120 is about 380.5534870586.

Adding to 55112120 its reverse (2121155), we get a palindrome (57233275).

The spelling of 55112120 in words is "fifty-five million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 149 280 298 596 745 1043 1192 1321 1490 2086 2642 2980 4172 5215 5284 5960 6605 8344 9247 10430 10568 13210 18494 20860 26420 36988 41720 46235 52840 73976 92470 184940 196829 369880 393658 787316 984145 1377803 1574632 1968290 2755606 3936580 5511212 6889015 7873160 11022424 13778030 27556060 55112120