Search a number
-
+
4680144 = 243274643
BaseRepresentation
bin10001110110100111010000
322210202221200
4101312213100
52144231034
6244151200
754531510
oct21664720
98722850
104680144
112707297
121698500
13c7b321
1489b840
15626a99
hex4769d0

4680144 has 60 divisors (see below), whose sum is σ = 14972256. Its totient is φ = 1336896.

The previous prime is 4680131. The next prime is 4680149. The reversal of 4680144 is 4410864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680149) 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 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 3329.

Almost surely, 24680144 is an apocalyptic number.

It is an amenable number.

4680144 is an abundant number, since it is smaller than the sum of its proper divisors (10292112).

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

4680144 is a wasteful number, since it uses less digits than its factorization.

4680144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4680144 is about 2163.3640470342. The cubic root of 4680144 is about 167.2706477086.

The spelling of 4680144 in words is "four million, six hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4643 9286 13929 18572 27858 32501 37144 41787 55716 65002 74288 83574 97503 111432 130004 167148 195006 222864 260008 292509 334296 390012 520016 585018 668592 780024 1170036 1560048 2340072 4680144