Search a number
-
+
424026420 = 223519431863
BaseRepresentation
bin11001010001100…
…010000100110100
31002112212202220020
4121101202010310
51332022321140
6110024205140
713336110426
oct3121420464
91075782806
10424026420
111a8396364
12ba0097b0
1369b0460c
144045a816
152735c6d0
hex19462134

424026420 has 96 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 106750080.

The previous prime is 424026409. The next prime is 424026431. The reversal of 424026420 is 24620424.

It is an interprime number because it is at equal distance from previous prime (424026409) and next prime (424026431).

It is a congruent number.

It is an unprimeable number.

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, 490909 + ... + 491771.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2424026420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424026420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

424026420 is an abundant number, since it is smaller than the sum of its proper divisors (830086860).

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

424026420 is a wasteful number, since it uses less digits than its factorization.

424026420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 424026420 is about 20591.9018062927. The cubic root of 424026420 is about 751.2727544619.

Adding to 424026420 its reverse (24620424), we get a palindrome (448646844).

The spelling of 424026420 in words is "four hundred twenty-four million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 431 570 862 863 1140 1293 1724 1726 2155 2586 2589 3452 4310 4315 5172 5178 6465 8189 8620 8630 10356 12930 12945 16378 16397 17260 24567 25860 25890 32756 32794 40945 49134 49191 51780 65588 81890 81985 98268 98382 122835 163780 163970 196764 245670 245955 327940 371953 491340 491910 743906 983820 1115859 1487812 1859765 2231718 3719530 4463436 5579295 7067107 7439060 11158590 14134214 21201321 22317180 28268428 35335535 42402642 70671070 84805284 106006605 141342140 212013210 424026420