Search a number
-
+
4140456 = 233172519
BaseRepresentation
bin1111110010110110101000
321210100122020
433302312220
52024443311
6224424440
750123205
oct17626650
97710566
104140456
112378871
121478120
13b1c798
1479acac
1556bc06
hex3f2da8

4140456 has 16 divisors (see below), whose sum is σ = 10351200. Its totient is φ = 1380144.

The previous prime is 4140439. The next prime is 4140457. The reversal of 4140456 is 6540414.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 172519 = 4140456 / (4 + 1 + 4 + 0 + 4 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (4140457) 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 3 ways as a sum of consecutive naturals, for example, 86236 + ... + 86283.

It is an arithmetic number, because the mean of its divisors is an integer number (646950).

Almost surely, 24140456 is an apocalyptic number.

It is an amenable number.

4140456 is an abundant number, since it is smaller than the sum of its proper divisors (6210744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4140456 is a wasteful number, since it uses less digits than its factorization.

4140456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172528 (or 172524 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4140456 is about 2034.8110477388. The cubic root of 4140456 is about 160.5767725026.

The spelling of 4140456 in words is "four million, one hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 172519 345038 517557 690076 1035114 1380152 2070228 4140456