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20456430 = 2352321289
BaseRepresentation
bin100111000001…
…0001111101110
31102111021221120
41032002033232
520214101210
62010241410
7335606511
oct116021756
942437846
1020456430
1110602245
126a26266
1343130c7
142a06d78
151be1270
hex13823ee

20456430 has 48 divisors (see below), whose sum is σ = 51362640. Its totient is φ = 5213824.

The previous prime is 20456419. The next prime is 20456437. The reversal of 20456430 is 3465402.

It is a self number, because there is not a number n which added to its sum of digits gives 20456430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15226 + ... + 16514.

It is an arithmetic number, because the mean of its divisors is an integer number (1070055).

Almost surely, 220456430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20456430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25681320).

20456430 is an abundant number, since it is smaller than the sum of its proper divisors (30906210).

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

20456430 is a wasteful number, since it uses less digits than its factorization.

20456430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20456430 is about 4522.8785082069. The cubic root of 20456430 is about 273.4911524977.

The spelling of 20456430 in words is "twenty million, four hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1289 1587 2578 2645 3174 3867 5290 6445 7734 7935 12890 15870 19335 29647 38670 59294 88941 148235 177882 296470 444705 681881 889410 1363762 2045643 3409405 4091286 6818810 10228215 20456430