Search a number
-
+
55260600 = 23352312971
BaseRepresentation
bin1101001011001…
…1010110111000
310211222112021220
43102303112320
5103121314400
65252232040
71240464423
oct322632670
9124875256
1055260600
112921411a
121660b620
13b5aa9a5
1474a69ba
154cb87a0
hex34b35b8

55260600 has 96 divisors (see below), whose sum is σ = 176893440. Its totient is φ = 14256000.

The previous prime is 55260589. The next prime is 55260619. The reversal of 55260600 is 606255.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17115 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (1842640).

Almost surely, 255260600 is an apocalyptic number.

55260600 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 55260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88446720).

55260600 is an abundant number, since it is smaller than the sum of its proper divisors (121632840).

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

55260600 is a wasteful number, since it uses less digits than its factorization.

55260600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 55260600 is about 7433.7473726244. The cubic root of 55260600 is about 380.8949359314.

Adding to 55260600 its reverse (606255), we get a palindrome (55866855).

The spelling of 55260600 in words is "fifty-five million, two hundred sixty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 2971 3100 3720 4650 5942 6200 8913 9300 11884 14855 17826 18600 23768 29710 35652 44565 59420 71304 74275 89130 92101 118840 148550 178260 184202 222825 276303 297100 356520 368404 445650 460505 552606 594200 736808 891300 921010 1105212 1381515 1782600 1842020 2210424 2302525 2763030 3684040 4605050 5526060 6907575 9210100 11052120 13815150 18420200 27630300 55260600