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16414020 = 22325721861
BaseRepresentation
bin111110100111…
…010101000100
31010212220210200
4332213111010
513200222040
61343450500
7256342200
oct76472504
933786720
1016414020
1192a1107
1255b6a30
13352914c
142273b00
151693630
hexfa7544

16414020 has 108 divisors (see below), whose sum is σ = 57949164. Its totient is φ = 3749760.

The previous prime is 16413961. The next prime is 16414037. The reversal of 16414020 is 2041461.

16414020 is a `hidden beast` number, since 1 + 641 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 14607684 = 1344^2 + 3822^2 .

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16413984 and 16414002.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7890 + ... + 9750.

Almost surely, 216414020 is an apocalyptic number.

16414020 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 16414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974582).

16414020 is an abundant number, since it is smaller than the sum of its proper divisors (41535144).

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

16414020 is a wasteful number, since it uses less digits than its factorization.

16414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16414020 is about 4051.4219725918. The cubic root of 16414020 is about 254.1391966490.

Adding to 16414020 its reverse (2041461), we get a palindrome (18455481).

The spelling of 16414020 in words is "sixteen million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 1861 2205 2940 3722 4410 5583 7444 8820 9305 11166 13027 16749 18610 22332 26054 27915 33498 37220 39081 52108 55830 65135 66996 78162 83745 91189 111660 117243 130270 156324 167490 182378 195405 234486 260540 273567 334980 364756 390810 455945 468972 547134 586215 781620 820701 911890 1094268 1172430 1367835 1641402 1823780 2344860 2735670 3282804 4103505 5471340 8207010 16414020