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55106061 = 31719293753
BaseRepresentation
bin1101001000110…
…1101000001101
310211200200022020
43102031220031
5103101343221
65245040353
71236252033
oct322155015
9124620266
1055106061
1129118aaa
12165560b9
13b55554a
147466553
154c87ac6
hex348da0d

55106061 has 64 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 30191616.

The previous prime is 55106047. The next prime is 55106063. The reversal of 55106061 is 16060155.

It is not a de Polignac number, because 55106061 - 213 = 55097869 is a prime.

55106061 is a modest number, since divided by 6061 gives 5510 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55106063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1039711 + ... + 1039763.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 255106061 is an apocalyptic number.

55106061 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55106061 is a deficient number, since it is larger than the sum of its proper divisors (33540339).

55106061 is a wasteful number, since it uses less digits than its factorization.

55106061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55106061 is about 7423.3456742900. The cubic root of 55106061 is about 380.5395405917.

The spelling of 55106061 in words is "fifty-five million, one hundred six thousand, sixty-one".

Divisors: 1 3 17 19 29 37 51 53 57 87 111 159 323 493 551 629 703 901 969 1007 1073 1479 1537 1653 1887 1961 2109 2703 3021 3219 4611 5883 9367 11951 17119 18241 20387 26129 28101 29203 33337 35853 37259 51357 54723 56869 61161 78387 87609 100011 111777 170607 346579 496451 633403 966773 1039737 1080511 1489353 1900209 2900319 3241533 18368687 55106061