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420492093 = 37176119309
BaseRepresentation
bin11001000100000…
…011001100111101
31002022020012201020
4121010003030331
51330121221333
6105420334353
713264060320
oct3104031475
91068205636
10420492093
111a63a1a2a
12b89a43b9
13691679b8
143dbba7b7
1526db03b3
hex1910333d

420492093 has 32 divisors (see below), whose sum is σ = 689598720. Its totient is φ = 222428160.

The previous prime is 420492073. The next prime is 420492101. The reversal of 420492093 is 390294024.

It is not a de Polignac number, because 420492093 - 210 = 420491069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420492043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12123 + ... + 31431.

It is an arithmetic number, because the mean of its divisors is an integer number (21549960).

Almost surely, 2420492093 is an apocalyptic number.

It is an amenable number.

420492093 is a deficient number, since it is larger than the sum of its proper divisors (269106627).

420492093 is a wasteful number, since it uses less digits than its factorization.

420492093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19397.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 420492093 is about 20505.9038571822. The cubic root of 420492093 is about 749.1796024800.

The spelling of 420492093 in words is "four hundred twenty million, four hundred ninety-two thousand, ninety-three".

Divisors: 1 3 7 17 21 51 61 119 183 357 427 1037 1281 3111 7259 19309 21777 57927 135163 328253 405489 984759 1177849 2297771 3533547 6893313 8244943 20023433 24734829 60070299 140164031 420492093