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546252420 = 2235710091289
BaseRepresentation
bin100000100011110…
…010011010000100
31102001212111110010
4200203302122010
52104320034140
6130112030220
716352032440
oct4043623204
91361774403
10546252420
1126038858a
12132b32370
138922a7ac
1452795820
1532e52880
hex208f2684

546252420 has 96 divisors (see below), whose sum is σ = 1751097600. Its totient is φ = 124637184.

The previous prime is 546252419. The next prime is 546252431. The reversal of 546252420 is 24252645.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 423136 + ... + 424424.

It is an arithmetic number, because the mean of its divisors is an integer number (18240600).

Almost surely, 2546252420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875548800).

546252420 is an abundant number, since it is smaller than the sum of its proper divisors (1204845180).

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

546252420 is a wasteful number, since it uses less digits than its factorization.

546252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 546252420 is about 23372.0435563517. The cubic root of 546252420 is about 817.4561358316.

The spelling of 546252420 in words is "five hundred forty-six million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1009 1289 2018 2578 3027 3867 4036 5045 5156 6054 6445 7063 7734 9023 10090 12108 12890 14126 15135 15468 18046 19335 20180 21189 25780 27069 28252 30270 35315 36092 38670 42378 45115 54138 60540 70630 77340 84756 90230 105945 108276 135345 141260 180460 211890 270690 423780 541380 1300601 2601202 3901803 5202404 6503005 7803606 9104207 13006010 15607212 18208414 19509015 26012020 27312621 36416828 39018030 45521035 54625242 78036060 91042070 109250484 136563105 182084140 273126210 546252420