Search a number
-
+
16422420 = 2235761641
BaseRepresentation
bin111110101001…
…011000010100
31010220100022210
4332221120110
513201004140
61343553420
7256405530
oct76513024
933810283
1016422420
1192a7453
1255bb870
13352cc11
142276bc0
151695d80
hexfa9614

16422420 has 96 divisors (see below), whose sum is σ = 53496576. Its totient is φ = 3686400.

The previous prime is 16422409. The next prime is 16422443. The reversal of 16422420 is 2422461.

16422420 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

16422420 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25300 + ... + 25940.

It is an arithmetic number, because the mean of its divisors is an integer number (557256).

Almost surely, 216422420 is an apocalyptic number.

16422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748288).

16422420 is an abundant number, since it is smaller than the sum of its proper divisors (37074156).

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

16422420 is a wasteful number, since it uses less digits than its factorization.

16422420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 16422420 is about 4052.4585130511. The cubic root of 16422420 is about 254.1825418135.

Adding to 16422420 its reverse (2422461), we get a palindrome (18844881).

The spelling of 16422420 in words is "sixteen million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 641 732 854 915 1220 1281 1282 1708 1830 1923 2135 2562 2564 3205 3660 3846 4270 4487 5124 6405 6410 7692 8540 8974 9615 12810 12820 13461 17948 19230 22435 25620 26922 38460 39101 44870 53844 67305 78202 89740 117303 134610 156404 195505 234606 269220 273707 391010 469212 547414 586515 782020 821121 1094828 1173030 1368535 1642242 2346060 2737070 3284484 4105605 5474140 8211210 16422420