Search a number
-
+
55216920 = 23351159709
BaseRepresentation
bin1101001010100…
…0101100011000
310211220022101010
43102220230120
5103113420140
65251253520
71240223163
oct322505430
9124808333
1055216920
1129194320
12165aa2a0
13b593b45
147494ada
154caa880
hex34a8b18

55216920 has 128 divisors (see below), whose sum is σ = 184032000. Its totient is φ = 13140480.

The previous prime is 55216919. The next prime is 55216943. The reversal of 55216920 is 2961255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77526 + ... + 78234.

It is an arithmetic number, because the mean of its divisors is an integer number (1437750).

Almost surely, 255216920 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 55216920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92016000).

55216920 is an abundant number, since it is smaller than the sum of its proper divisors (128815080).

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

55216920 is a wasteful number, since it uses less digits than its factorization.

55216920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55216920 is about 7430.8088388815. The cubic root of 55216920 is about 380.7945517134.

The spelling of 55216920 in words is "fifty-five million, two hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 295 330 354 440 472 590 649 660 708 709 885 1180 1298 1320 1416 1418 1770 1947 2127 2360 2596 2836 3245 3540 3545 3894 4254 5192 5672 6490 7080 7090 7788 7799 8508 9735 10635 12980 14180 15576 15598 17016 19470 21270 23397 25960 28360 31196 38940 38995 41831 42540 46794 62392 77880 77990 83662 85080 93588 116985 125493 155980 167324 187176 209155 233970 250986 311960 334648 418310 460141 467940 501972 627465 836620 920282 935880 1003944 1254930 1380423 1673240 1840564 2300705 2509860 2760846 3681128 4601410 5019720 5521692 6902115 9202820 11043384 13804230 18405640 27608460 55216920