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405246420 = 223252251369
BaseRepresentation
bin11000001001111…
…001000111010100
31001020112122120200
4120021321013110
51312220341140
6104113500500
713020352305
oct3011710724
91036478520
10405246420
111988296a7
12b3871730
1365c5a5a7
143bb6c7ac
152589d030
hex182791d4

405246420 has 36 divisors (see below), whose sum is σ = 1229248020. Its totient is φ = 108065664.

The previous prime is 405246409. The next prime is 405246449. The reversal of 405246420 is 24642504.

It can be written as a sum of positive squares in 2 ways, for example, as 316057284 + 89189136 = 17778^2 + 9444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1125505 + ... + 1125864.

Almost surely, 2405246420 is an apocalyptic number.

It is an amenable number.

405246420 is an abundant number, since it is smaller than the sum of its proper divisors (824001600).

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

405246420 is a wasteful number, since it uses less digits than its factorization.

405246420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251384 (or 2251379 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 405246420 is about 20130.7332206256. The cubic root of 405246420 is about 740.0136471795.

Adding to 405246420 its reverse (24642504), we get a palindrome (429888924).

It can be divided in two parts, 405 and 246420, that multiplied together give a square (99800100 = 99902).

The spelling of 405246420 in words is "four hundred five million, two hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2251369 4502738 6754107 9005476 11256845 13508214 20262321 22513690 27016428 33770535 40524642 45027380 67541070 81049284 101311605 135082140 202623210 405246420