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55631160 = 233251311887
BaseRepresentation
bin1101010000110…
…1110100111000
310212200100121100
43110031310320
5103220144120
65304211400
71243566654
oct324156470
9125610540
1055631160
1129447572
1216769b60
13b6aa560
147561a64
154d3d490
hex350dd38

55631160 has 96 divisors (see below), whose sum is σ = 194725440. Its totient is φ = 13692672.

The previous prime is 55631153. The next prime is 55631161. The reversal of 55631160 is 6113655.

It is a happy number.

55631160 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 not an unprimeable number, because it can be changed into a prime (55631161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1264 + ... + 10623.

It is an arithmetic number, because the mean of its divisors is an integer number (2028390).

Almost surely, 255631160 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 55631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97362720).

55631160 is an abundant number, since it is smaller than the sum of its proper divisors (139094280).

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

55631160 is a wasteful number, since it uses less digits than its factorization.

55631160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55631160 is about 7458.6299009939. The cubic root of 55631160 is about 381.7444266938.

The spelling of 55631160 in words is "fifty-five million, six hundred thirty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11887 23774 35661 47548 59435 71322 95096 106983 118870 142644 154531 178305 213966 237740 285288 309062 356610 427932 463593 475480 534915 618124 713220 772655 855864 927186 1069830 1236248 1390779 1426440 1545310 1854372 2139660 2317965 2781558 3090620 3708744 4279320 4635930 5563116 6181240 6953895 9271860 11126232 13907790 18543720 27815580 55631160