Search a number
-
+
55106118 = 23219592731
BaseRepresentation
bin1101001000110…
…1101001000110
310211200200101100
43102031221012
5103101343433
65245040530
71236252144
oct322155106
9124620340
1055106118
1129119051
1216556146
13b555592
147466594
154c87b13
hex348da46

55106118 has 48 divisors (see below), whose sum is σ = 127857600. Its totient is φ = 17100720.

The previous prime is 55106113. The next prime is 55106123. The reversal of 55106118 is 81160155.

It is an interprime number because it is at equal distance from previous prime (55106113) and next prime (55106123).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55106091 and 55106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55106111) 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, 18813 + ... + 21543.

It is an arithmetic number, because the mean of its divisors is an integer number (2663700).

Almost surely, 255106118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55106118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63928800).

55106118 is an abundant number, since it is smaller than the sum of its proper divisors (72751482).

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

55106118 is a wasteful number, since it uses less digits than its factorization.

55106118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2814 counting only the distinct ones).

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

The square root of 55106118 is about 7423.3495135282. The cubic root of 55106118 is about 380.5396717977.

It can be divided in two parts, 5510 and 6118, that added together give a triangular number (11628 = T152).

The spelling of 55106118 in words is "fifty-five million, one hundred six thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 342 354 531 1062 1121 2242 2731 3363 5462 6726 8193 10089 16386 20178 24579 49158 51889 103778 155667 161129 311334 322258 467001 483387 934002 966774 1450161 2900322 3061451 6122902 9184353 18368706 27553059 55106118