Search a number
-
+
20005560 = 2332561911
BaseRepresentation
bin100110001010…
…0001010111000
31101122101110200
41030110022320
520110134220
61552442200
7332021151
oct114241270
941571420
1020005560
1110324523
126849360
1341b5b13
14292a928
151b52890
hex13142b8

20005560 has 96 divisors (see below), whose sum is σ = 66156480. Its totient is φ = 5241600.

The previous prime is 20005541. The next prime is 20005589. The reversal of 20005560 is 6550002.

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

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, 21505 + ... + 22415.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 220005560 is an apocalyptic number.

20005560 is a gapful number since it is divisible by the number (20) 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 20005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

20005560 is an abundant number, since it is smaller than the sum of its proper divisors (46150920).

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

20005560 is a wasteful number, since it uses less digits than its factorization.

20005560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

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

The square root of 20005560 is about 4472.7575387003. The cubic root of 20005560 is about 271.4669129322.

Adding to 20005560 its reverse (6550002), we get a palindrome (26555562).

The spelling of 20005560 in words is "twenty million, five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 911 915 1098 1220 1464 1822 1830 2196 2440 2733 2745 3644 3660 4392 4555 5466 5490 7288 7320 8199 9110 10932 10980 13665 16398 18220 21864 21960 27330 32796 36440 40995 54660 55571 65592 81990 109320 111142 163980 166713 222284 277855 327960 333426 444568 500139 555710 666852 833565 1000278 1111420 1333704 1667130 2000556 2222840 2500695 3334260 4001112 5001390 6668520 10002780 20005560