Search a number
-
+
55014300 = 223252115557
BaseRepresentation
bin1101000111011…
…1001110011100
310211112000102200
43101313032130
5103040424200
65243051500
71235420355
oct321671634
9124460380
1055014300
1129066070
1216510b90
13b522853
147440d2c
154c6a800
hex347739c

55014300 has 108 divisors (see below), whose sum is σ = 188149416. Its totient is φ = 13334400.

The previous prime is 55014287. The next prime is 55014307. The reversal of 55014300 is 341055.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55014307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7122 + ... + 12678.

Almost surely, 255014300 is an apocalyptic number.

55014300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94074708).

55014300 is an abundant number, since it is smaller than the sum of its proper divisors (133135116).

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

55014300 is a wasteful number, since it uses less digits than its factorization.

55014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55014300 is about 7417.1625302403. The cubic root of 55014300 is about 380.3282021414.

55014300 divided by its product of nonzero digits (300) gives a palindrome (183381).

Adding to 55014300 its reverse (341055), we get a palindrome (55355355).

It can be divided in two parts, 5501 and 4300, that added together give a square (9801 = 992).

The spelling of 55014300 in words is "fifty-five million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 5557 9900 11114 16671 22228 27785 33342 50013 55570 61127 66684 83355 100026 111140 122254 138925 166710 183381 200052 244508 250065 277850 305635 333420 366762 416775 500130 550143 555700 611270 733524 833550 916905 1000260 1100286 1222540 1250325 1528175 1667100 1833810 2200572 2500650 2750715 3056350 3667620 4584525 5001300 5501430 6112700 9169050 11002860 13753575 18338100 27507150 55014300