Search a number
-
+
55134200 = 235211191319
BaseRepresentation
bin1101001001010…
…0011111111000
310211202002220102
43102110133320
5103103243300
65245414532
71236430052
oct322243770
9124662812
1055134200
1129138160
121656a448
13b5652b4
1474728d2
154c910d5
hex34947f8

55134200 has 96 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 18979200.

The previous prime is 55134139. The next prime is 55134221. The reversal of 55134200 is 243155.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41141 + ... + 42459.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 255134200 is an apocalyptic number.

55134200 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 55134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

55134200 is an abundant number, since it is smaller than the sum of its proper divisors (92177800).

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

55134200 is a wasteful number, since it uses less digits than its factorization.

55134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55134200 is about 7425.2407368381. The cubic root of 55134200 is about 380.6043016472.

Adding to 55134200 its reverse (243155), we get a palindrome (55377355).

The spelling of 55134200 in words is "fifty-five million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1319 1672 1900 2090 2200 2638 3800 4180 5225 5276 6595 8360 10450 10552 13190 14509 20900 25061 26380 29018 32975 41800 50122 52760 58036 65950 72545 100244 116072 125305 131900 145090 200488 250610 263800 275671 290180 362725 501220 551342 580360 626525 725450 1002440 1102684 1253050 1378355 1450900 2205368 2506100 2756710 2901800 5012200 5513420 6891775 11026840 13783550 27567100 55134200