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20710830 = 2357273193
BaseRepresentation
bin100111100000…
…0010110101110
31102222012220210
41033000112232
520300221310
62015523250
7341016300
oct117002656
942865823
1020710830
1110766398
126b29526
1343a1b3a
142a71970
151c41820
hex13c05ae

20710830 has 96 divisors (see below), whose sum is σ = 58917024. Its totient is φ = 4644864.

The previous prime is 20710793. The next prime is 20710831. The reversal of 20710830 is 3801702.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20710797 and 20710806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20710831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107214 + ... + 107406.

It is an arithmetic number, because the mean of its divisors is an integer number (613719).

Almost surely, 220710830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20710830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29458512).

20710830 is an abundant number, since it is smaller than the sum of its proper divisors (38206194).

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

20710830 is a wasteful number, since it uses less digits than its factorization.

20710830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20710830 is about 4550.9152925538. The cubic root of 20710830 is about 274.6202140339.

The spelling of 20710830 in words is "twenty million, seven hundred ten thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 73 98 105 146 147 193 210 219 245 294 365 386 438 490 511 579 730 735 965 1022 1095 1158 1351 1470 1533 1930 2190 2555 2702 2895 3066 3577 4053 5110 5790 6755 7154 7665 8106 9457 10731 13510 14089 15330 17885 18914 20265 21462 28178 28371 35770 40530 42267 47285 53655 56742 70445 84534 94570 98623 107310 140890 141855 197246 211335 283710 295869 422670 493115 591738 690361 986230 1380722 1479345 2071083 2958690 3451805 4142166 6903610 10355415 20710830