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20500680 = 23352943137
BaseRepresentation
bin100111000110…
…1000011001000
31102120112122110
41032031003020
520222010210
62011222320
7336152514
oct116150310
942515573
1020500680
1110632512
126a479a0
13432a2a5
142a19144
151bee420
hex138d0c8

20500680 has 128 divisors (see below), whose sum is σ = 65577600. Its totient is φ = 5117952.

The previous prime is 20500679. The next prime is 20500681. The reversal of 20500680 is 8600502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20500679) and next prime (20500681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20500681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149572 + ... + 149708.

It is an arithmetic number, because the mean of its divisors is an integer number (512325).

Almost surely, 220500680 is an apocalyptic number.

20500680 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 20500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32788800).

20500680 is an abundant number, since it is smaller than the sum of its proper divisors (45076920).

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

20500680 is a wasteful number, since it uses less digits than its factorization.

20500680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20500680 is about 4527.7676618837. The cubic root of 20500680 is about 273.6882098191.

The spelling of 20500680 in words is "twenty million, five hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 43 58 60 86 87 116 120 129 137 145 172 174 215 232 258 274 290 344 348 411 430 435 516 548 580 645 685 696 822 860 870 1032 1096 1160 1247 1290 1370 1644 1720 1740 2055 2494 2580 2740 3288 3480 3741 3973 4110 4988 5160 5480 5891 6235 7482 7946 8220 9976 11782 11919 12470 14964 15892 16440 17673 18705 19865 23564 23838 24940 29455 29928 31784 35346 37410 39730 47128 47676 49880 58910 59595 70692 74820 79460 88365 95352 117820 119190 141384 149640 158920 170839 176730 235640 238380 341678 353460 476760 512517 683356 706920 854195 1025034 1366712 1708390 2050068 2562585 3416780 4100136 5125170 6833560 10250340 20500680