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20948730 = 23511229199
BaseRepresentation
bin100111111101…
…0011011111010
31110102022020220
41033322123322
520330324410
62025000510
7343030005
oct117723372
943368226
1020948730
1110909100
127023136
1344561ca
142ad453c
151c8c070
hex13fa6fa

20948730 has 96 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 4878720.

The previous prime is 20948729. The next prime is 20948747. The reversal of 20948730 is 3784902.

It is a super-2 number, since 2×209487302 = 877698577225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20948691 and 20948700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105171 + ... + 105369.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 220948730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20948730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

20948730 is an abundant number, since it is smaller than the sum of its proper divisors (36507270).

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

20948730 is a wasteful number, since it uses less digits than its factorization.

20948730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20948730 is about 4576.9782608179. The cubic root of 20948730 is about 275.6677107932.

The spelling of 20948730 in words is "twenty million, nine hundred forty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 199 242 290 319 330 363 398 435 597 605 638 726 870 957 995 1194 1210 1595 1815 1914 1990 2189 2985 3190 3509 3630 4378 4785 5771 5970 6567 7018 9570 10527 10945 11542 13134 17313 17545 21054 21890 24079 28855 32835 34626 35090 48158 52635 57710 63481 65670 72237 86565 105270 120395 126962 144474 173130 190443 240790 317405 361185 380886 634810 698291 722370 952215 1396582 1904430 2094873 3491455 4189746 6982910 10474365 20948730