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20106560 = 265193307
BaseRepresentation
bin100110010110…
…0110101000000
31101211112000102
41030230311000
520121402220
61554541532
7332621465
oct114546500
941745012
1020106560
11103933a1
1268978a8
13421ca96
14295566c
151b72775
hex132cd40

20106560 has 56 divisors (see below), whose sum is σ = 50413920. Its totient is φ = 7617024.

The previous prime is 20106521. The next prime is 20106589. The reversal of 20106560 is 6560102.

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 7 ways as a sum of consecutive naturals, for example, 4427 + ... + 7733.

Almost surely, 220106560 is an apocalyptic number.

20106560 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 20106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25206960).

20106560 is an abundant number, since it is smaller than the sum of its proper divisors (30307360).

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

20106560 is a wasteful number, since it uses less digits than its factorization.

20106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20106560 is about 4484.0338981770. The cubic root of 20106560 is about 271.9229885784.

Adding to 20106560 its reverse (6560102), we get a palindrome (26666662).

The spelling of 20106560 in words is "twenty million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 3307 6080 6614 13228 16535 26456 33070 52912 62833 66140 105824 125666 132280 211648 251332 264560 314165 502664 529120 628330 1005328 1058240 1256660 2010656 2513320 4021312 5026640 10053280 20106560