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210252420 = 223257166867
BaseRepresentation
bin11001000100000…
…11001010000100
3112122121221002200
430202003022010
5412311034140
632510234500
75132054550
oct1442031204
9478557080
10210252420
11a8755834
125a4b5a30
1334736a21
141dcd0860
15136d2030
hexc883284

210252420 has 72 divisors (see below), whose sum is σ = 728879424. Its totient is φ = 48057408.

The previous prime is 210252403. The next prime is 210252439. The reversal of 210252420 is 24252012.

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 = 210252393 and 210252402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82174 + ... + 84693.

Almost surely, 2210252420 is an apocalyptic number.

210252420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210252420 is an abundant number, since it is smaller than the sum of its proper divisors (518627004).

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

210252420 is a wasteful number, since it uses less digits than its factorization.

210252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166889 (or 166884 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 210252420 is about 14500.0834480357. The cubic root of 210252420 is about 594.6302530595.

The spelling of 210252420 in words is "two hundred ten million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 166867 333734 500601 667468 834335 1001202 1168069 1501803 1668670 2002404 2336138 2503005 3003606 3337340 3504207 4672276 5006010 5840345 6007212 7008414 7509015 10012020 10512621 11680690 14016828 15018030 17521035 21025242 23361380 30036060 35042070 42050484 52563105 70084140 105126210 210252420