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20718930 = 23519163223
BaseRepresentation
bin100111100001…
…0010101010010
31102222122000210
41033002111102
520301001210
62020024550
7341052021
oct117022522
942878023
1020718930
1110771491
126b32156
1343a572b
142a748b8
151c43e20
hex13c2552

20718930 has 64 divisors (see below), whose sum is σ = 52899840. Its totient is φ = 5178816.

The previous prime is 20718917. The next prime is 20718931. The reversal of 20718930 is 3981702.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20718931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92799 + ... + 93021.

It is an arithmetic number, because the mean of its divisors is an integer number (826560).

Almost surely, 220718930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449920).

20718930 is an abundant number, since it is smaller than the sum of its proper divisors (32180910).

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

20718930 is a wasteful number, since it uses less digits than its factorization.

20718930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 20718930 is about 4551.8051364266. The cubic root of 20718930 is about 274.6560106647.

The spelling of 20718930 in words is "twenty million, seven hundred eighteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 163 190 223 285 326 446 489 570 669 815 978 1115 1338 1630 2230 2445 3097 3345 4237 4890 6194 6690 8474 9291 12711 15485 18582 21185 25422 30970 36349 42370 46455 63555 72698 92910 109047 127110 181745 218094 363490 545235 690631 1090470 1381262 2071893 3453155 4143786 6906310 10359465 20718930