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21462168 = 23371331317
BaseRepresentation
bin101000111011…
…1110010011000
31111101101120010
41101313302120
520443242133
62044001520
7350265630
oct121676230
944341503
1021462168
1111129932
1272302a0
1345a5b10
142bc96c0
151d3e263
hex1477c98

21462168 has 128 divisors (see below), whose sum is σ = 68382720. Its totient is φ = 5460480.

The previous prime is 21462163. The next prime is 21462187. The reversal of 21462168 is 86126412.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462163) 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 31 ways as a sum of consecutive naturals, for example, 67546 + ... + 67862.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 221462168 is an apocalyptic number.

21462168 is a gapful number since it is divisible by the number (28) 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 21462168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34191360).

21462168 is an abundant number, since it is smaller than the sum of its proper divisors (46920552).

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

21462168 is a wasteful number, since it uses less digits than its factorization.

21462168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 21462168 is about 4632.7279220779. The cubic root of 21462168 is about 277.9016956567.

The spelling of 21462168 in words is "twenty-one million, four hundred sixty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 317 364 372 403 434 546 634 651 728 744 806 868 951 1092 1209 1268 1302 1612 1736 1902 2184 2219 2418 2536 2604 2821 3224 3804 4121 4438 4836 5208 5642 6657 7608 8242 8463 8876 9672 9827 11284 12363 13314 16484 16926 17752 19654 22568 24726 26628 28847 29481 32968 33852 39308 49452 53256 57694 58962 67704 68789 78616 86541 98904 115388 117924 127751 137578 173082 206367 230776 235848 255502 275156 346164 383253 412734 511004 550312 692328 766506 825468 894257 1022008 1533012 1650936 1788514 2682771 3066024 3577028 5365542 7154056 10731084 21462168