Search a number
-
+
20692560 = 24357109113
BaseRepresentation
bin100111011101…
…1111001010000
31102221021212010
41032323321100
520244130220
62015302520
7340612110
oct116737120
942837763
1020692560
1110753699
126b1aa40
134396725
142a69040
151c3b1e0
hex13bbe50

20692560 has 160 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 4644864.

The previous prime is 20692547. The next prime is 20692613. The reversal of 20692560 is 6529602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183064 + ... + 183176.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 220692560 is an apocalyptic number.

20692560 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 20692560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

20692560 is an abundant number, since it is smaller than the sum of its proper divisors (53945520).

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

20692560 is a wasteful number, since it uses less digits than its factorization.

20692560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 20692560 is about 4548.9075611624. The cubic root of 20692560 is about 274.5394384627.

The spelling of 20692560 in words is "twenty million, six hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 109 112 113 120 140 168 210 218 226 240 280 327 336 339 420 436 452 545 560 565 654 678 763 791 840 872 904 1090 1130 1308 1356 1526 1582 1635 1680 1695 1744 1808 2180 2260 2289 2373 2616 2712 3052 3164 3270 3390 3815 3955 4360 4520 4578 4746 5232 5424 6104 6328 6540 6780 7630 7910 8720 9040 9156 9492 11445 11865 12208 12317 12656 13080 13560 15260 15820 18312 18984 22890 23730 24634 26160 27120 30520 31640 36624 36951 37968 45780 47460 49268 61040 61585 63280 73902 86219 91560 94920 98536 123170 147804 172438 183120 184755 189840 197072 246340 258657 295608 344876 369510 431095 492680 517314 591216 689752 739020 862190 985360 1034628 1293285 1379504 1478040 1724380 2069256 2586570 2956080 3448760 4138512 5173140 6897520 10346280 20692560