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4200157 = 13229857
BaseRepresentation
bin10000000001011011011101
321220101112101
4100001123131
52033401112
6230005101
750462233
oct20013335
97811471
104200157
112409705
1214a6791
13b40a00
147b4953
1557e757
hex4016dd

4200157 has 12 divisors (see below), whose sum is σ = 4710420. Its totient is φ = 3739008.

The previous prime is 4200149. The next prime is 4200167. The reversal of 4200157 is 7510024.

It can be written as a sum of positive squares in 6 ways, for example, as 63001 + 4137156 = 251^2 + 2034^2 .

It is not a de Polignac number, because 4200157 - 23 = 4200149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4473 + ... + 5329.

It is an arithmetic number, because the mean of its divisors is an integer number (392535).

Almost surely, 24200157 is an apocalyptic number.

It is an amenable number.

4200157 is a deficient number, since it is larger than the sum of its proper divisors (510263).

4200157 is a wasteful number, since it uses less digits than its factorization.

4200157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 4200157 is about 2049.4284569118. The cubic root of 4200157 is about 161.3448749607.

The spelling of 4200157 in words is "four million, two hundred thousand, one hundred fifty-seven".

Divisors: 1 13 29 169 377 857 4901 11141 24853 144833 323089 4200157