Search a number
-
+
420726149 = 17373132137
BaseRepresentation
bin11001000100111…
…100010110000101
31002022200002202222
4121010330112011
51330201214044
6105425342125
713266053564
oct3104742605
91068602688
10420726149
111a6541868
12b8a97945
136921a3ac
143dc3bbdb
1526e098ee
hex1913c585

420726149 has 16 divisors (see below), whose sum is σ = 459191088. Its totient is φ = 383864832.

The previous prime is 420726127. The next prime is 420726161. The reversal of 420726149 is 941627024.

It can be written as a sum of positive squares in 8 ways, for example, as 28408900 + 392317249 = 5330^2 + 19807^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420726149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420726169) 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 15 ways as a sum of consecutive naturals, for example, 195809 + ... + 197945.

It is an arithmetic number, because the mean of its divisors is an integer number (28699443).

Almost surely, 2420726149 is an apocalyptic number.

It is an amenable number.

420726149 is a deficient number, since it is larger than the sum of its proper divisors (38464939).

420726149 is a wasteful number, since it uses less digits than its factorization.

420726149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 420726149 is about 20511.6101025736. The cubic root of 420726149 is about 749.3185804848.

The spelling of 420726149 in words is "four hundred twenty million, seven hundred twenty-six thousand, one hundred forty-nine".

Divisors: 1 17 37 313 629 2137 5321 11581 36329 79069 196877 668881 1344173 11370977 24748597 420726149