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420093460 = 225171235569
BaseRepresentation
bin11001000010100…
…001111000010100
31002021110221220001
4121002201320110
51330020442320
6105404021044
713260510163
oct3102417024
91067427801
10420093460
111a614a486
12b8831784
1369058417
143db153da
1526d3220a
hex190a1e14

420093460 has 24 divisors (see below), whose sum is σ = 934090920. Its totient is φ = 158152704.

The previous prime is 420093451. The next prime is 420093467. The reversal of 420093460 is 64390024.

It can be written as a sum of positive squares in 4 ways, for example, as 143137296 + 276956164 = 11964^2 + 16642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420093467) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 617445 + ... + 618124.

It is an arithmetic number, because the mean of its divisors is an integer number (38920455).

Almost surely, 2420093460 is an apocalyptic number.

It is an amenable number.

420093460 is an abundant number, since it is smaller than the sum of its proper divisors (513997460).

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

420093460 is a wasteful number, since it uses less digits than its factorization.

420093460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235595 (or 1235593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 420093460 is about 20496.1815956046. The cubic root of 420093460 is about 748.9427830158.

The spelling of 420093460 in words is "four hundred twenty million, ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1235569 2471138 4942276 6177845 12355690 21004673 24711380 42009346 84018692 105023365 210046730 420093460