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420151293 = 348296257
BaseRepresentation
bin11001000010101…
…111111111111101
31002021120220020000
4121002233333331
51330024320133
6105405144513
713261140612
oct3102577775
91067526200
10420151293
111a6189981
12b885b139
1369078843
143db2c509
1526d44413
hex190afffd

420151293 has 20 divisors (see below), whose sum is σ = 628490940. Its totient is φ = 279718272.

The previous prime is 420151279. The next prime is 420151321. The reversal of 420151293 is 392151024.

420151293 is a `hidden beast` number, since 420 + 151 + 2 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354832569 + 65318724 = 18837^2 + 8082^2 .

It is not a de Polignac number, because 420151293 - 25 = 420151261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420151223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64021 + ... + 70277.

It is an arithmetic number, because the mean of its divisors is an integer number (31424547).

Almost surely, 2420151293 is an apocalyptic number.

It is an amenable number.

420151293 is a deficient number, since it is larger than the sum of its proper divisors (208339647).

420151293 is an equidigital number, since it uses as much as digits as its factorization.

420151293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 420151293 is about 20497.5923708127. The cubic root of 420151293 is about 748.9771496704.

The spelling of 420151293 in words is "four hundred twenty million, one hundred fifty-one thousand, two hundred ninety-three".

Divisors: 1 3 9 27 81 829 2487 6257 7461 18771 22383 56313 67149 168939 506817 5187053 15561159 46683477 140050431 420151293