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55206000 = 2432533067
BaseRepresentation
bin1101001010011…
…0000001110000
310211212202101200
43102212001300
5103113043000
65251131200
71240146303
oct322460160
9124782350
1055206000
11291870a3
12165a3b00
13b58bb95
147490b3a
154ca7500
hex34a6070

55206000 has 120 divisors (see below), whose sum is σ = 192879024. Its totient is φ = 14716800.

The previous prime is 55205999. The next prime is 55206007. The reversal of 55206000 is 60255.

It is a tau number, because it is divible by the number of its divisors (120).

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 (55206007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16467 + ... + 19533.

Almost surely, 255206000 is an apocalyptic number.

55206000 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 55206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96439512).

55206000 is an abundant number, since it is smaller than the sum of its proper divisors (137673024).

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

55206000 is a wasteful number, since it uses less digits than its factorization.

55206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

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

The square root of 55206000 is about 7430.0740238574. The cubic root of 55206000 is about 380.7694473875.

Adding to 55206000 its reverse (60255), we get a palindrome (55266255).

The spelling of 55206000 in words is "fifty-five million, two hundred six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3067 3600 4500 6000 6134 9000 9201 12268 15335 18000 18402 24536 27603 30670 36804 46005 49072 55206 61340 73608 76675 92010 110412 122680 138015 147216 153350 184020 220824 230025 245360 276030 306700 368040 383375 441648 460050 552060 613400 690075 736080 766750 920100 1104120 1150125 1226800 1380150 1533500 1840200 2208240 2300250 2760300 3067000 3450375 3680400 4600500 5520600 6134000 6900750 9201000 11041200 13801500 18402000 27603000 55206000