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420753153 = 3432732413
BaseRepresentation
bin11001000101000…
…010111100000001
31002022201110211010
4121011002330001
51330203100103
6105430111133
713266225402
oct3105027401
91068643733
10420753153
111a6560087
12b8aab4a9
1369229782
143dc479a9
1526e12903
hex19142f01

420753153 has 8 divisors (see below), whose sum is σ = 561151168. Its totient is φ = 280428624.

The previous prime is 420753133. The next prime is 420753163. The reversal of 420753153 is 351357024.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 420753153 - 26 = 420753089 is a prime.

It is a super-5 number, since 5×4207531535 (a number of 44 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420753153.

It is not an unprimeable number, because it can be changed into a prime (420753133) 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, 3226 + ... + 29187.

It is an arithmetic number, because the mean of its divisors is an integer number (70143896).

Almost surely, 2420753153 is an apocalyptic number.

It is an amenable number.

420753153 is a deficient number, since it is larger than the sum of its proper divisors (140398015).

420753153 is a wasteful number, since it uses less digits than its factorization.

420753153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36743.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 420753153 is about 20512.2683533538. The cubic root of 420753153 is about 749.3346116301.

The spelling of 420753153 in words is "four hundred twenty million, seven hundred fifty-three thousand, one hundred fifty-three".

Divisors: 1 3 4327 12981 32413 97239 140251051 420753153