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4294160 = 245134129
BaseRepresentation
bin10000011000011000010000
322002011110222
4100120120100
52044403120
6232012212
751333263
oct20303020
98064428
104294160
1124732a2
121531068
13b74730
147dacda
1559c525
hex418610

4294160 has 40 divisors (see below), whose sum is σ = 10754520. Its totient is φ = 1585152.

The previous prime is 4294153. The next prime is 4294163. The reversal of 4294160 is 614924.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 4194304 = 316^2 + 2048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (4294163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (268863).

Almost surely, 24294160 is an apocalyptic number.

4294160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4294160 is an abundant number, since it is smaller than the sum of its proper divisors (6460360).

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

4294160 is a wasteful number, since it uses less digits than its factorization.

4294160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4294160 is about 2072.2355078514. The cubic root of 4294160 is about 162.5396826164.

The spelling of 4294160 in words is "four million, two hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 4129 8258 16516 20645 33032 41290 53677 66064 82580 107354 165160 214708 268385 330320 429416 536770 858832 1073540 2147080 4294160