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20723430 = 2357137591
BaseRepresentation
bin100111100001…
…1011011100110
31102222212012110
41033003123212
520301122210
62020101450
7341101110
oct117033346
942885173
1020723430
1110774902
126b34886
1343a77b0
142a763b0
151c45420
hex13c36e6

20723430 has 64 divisors (see below), whose sum is σ = 61221888. Its totient is φ = 4371840.

The previous prime is 20723419. The next prime is 20723431. The reversal of 20723430 is 3432702.

It is a happy number.

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 = 20723397 and 20723406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20723431) 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, 1066 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 220723430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20723430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944).

20723430 is an abundant number, since it is smaller than the sum of its proper divisors (40498458).

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

20723430 is a wasteful number, since it uses less digits than its factorization.

20723430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7621.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 20723430 is about 4552.2994189750. The cubic root of 20723430 is about 274.6758936506.

The spelling of 20723430 in words is "twenty million, seven hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 7591 15182 22773 37955 45546 53137 75910 98683 106274 113865 159411 197366 227730 265685 296049 318822 493415 531370 592098 690781 797055 986830 1381562 1480245 1594110 2072343 2960490 3453905 4144686 6907810 10361715 20723430