Search a number
-
+
4495680 = 263257223
BaseRepresentation
bin10001001001100101000000
322110101220200
4101021211000
52122330210
6240205200
753132640
oct21114500
98411820
104495680
1125a0742
121609800
13c15387
14850520
155dc0c0
hex449940

4495680 has 168 divisors, whose sum is σ = 17751552. Its totient is φ = 1022976.

The previous prime is 4495679. The next prime is 4495681. The reversal of 4495680 is 865944.

It is an interprime number because it is at equal distance from previous prime (4495679) and next prime (4495681).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×44956802 = 40422277324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4495681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 20271.

It is an arithmetic number, because the mean of its divisors is an integer number (105664).

Almost surely, 24495680 is an apocalyptic number.

4495680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875776).

4495680 is an abundant number, since it is smaller than the sum of its proper divisors (13255872).

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

4495680 is a wasteful number, since it uses less digits than its factorization.

4495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4495680 is about 2120.3018653013. The cubic root of 4495680 is about 165.0435146939.

The spelling of 4495680 in words is "four million, four hundred ninety-five thousand, six hundred eighty".