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16302420 = 2232541472
BaseRepresentation
bin111110001100…
…000101010100
31010200020201100
4332030011110
513133134140
61341230100
7255365631
oct76140524
933606640
1016302420
119225282
125562330
1334ba404
142245188
151670530
hexf8c154

16302420 has 108 divisors (see below), whose sum is σ = 51757524. Its totient is φ = 4151040.

The previous prime is 16302401. The next prime is 16302421. The reversal of 16302420 is 2420361.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 13439556 = 1692^2 + 3666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16302393 and 16302402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16302421) 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 35 ways as a sum of consecutive naturals, for example, 346837 + ... + 346883.

Almost surely, 216302420 is an apocalyptic number.

16302420 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 16302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25878762).

16302420 is an abundant number, since it is smaller than the sum of its proper divisors (35455104).

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

16302420 is a wasteful number, since it uses less digits than its factorization.

16302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16302420 is about 4037.6255398439. The cubic root of 16302420 is about 253.5619166476.

Adding to 16302420 its reverse (2420361), we get a palindrome (18722781).

The spelling of 16302420 in words is "sixteen million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 47 60 82 90 94 123 141 164 180 188 205 235 246 282 369 410 423 470 492 564 615 705 738 820 846 940 1230 1410 1476 1692 1845 1927 2115 2209 2460 2820 3690 3854 4230 4418 5781 6627 7380 7708 8460 8836 9635 11045 11562 13254 17343 19270 19881 22090 23124 26508 28905 33135 34686 38540 39762 44180 57810 66270 69372 79524 86715 90569 99405 115620 132540 173430 181138 198810 271707 346860 362276 397620 452845 543414 815121 905690 1086828 1358535 1630242 1811380 2717070 3260484 4075605 5434140 8151210 16302420