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424160 = 25511241
BaseRepresentation
bin1100111100011100000
3210112211122
41213203200
5102033120
613031412
73414422
oct1474340
9715748
10424160
1126a750
12185568
1311b0a9
14b0812
1585a25
hex678e0

424160 has 48 divisors (see below), whose sum is σ = 1097712. Its totient is φ = 153600.

The previous prime is 424157. The next prime is 424163. The reversal of 424160 is 61424.

It is an interprime number because it is at equal distance from previous prime (424157) and next prime (424163).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424163) 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, 1640 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2424160 is an apocalyptic number.

424160 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 424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548856).

424160 is an abundant number, since it is smaller than the sum of its proper divisors (673552).

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

424160 is a wasteful number, since it uses less digits than its factorization.

424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 424160 is about 651.2756712791. The cubic root of 424160 is about 75.1351636715.

Adding to 424160 its reverse (61424), we get a palindrome (485584).

The spelling of 424160 in words is "four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 241 352 440 482 880 964 1205 1760 1928 2410 2651 3856 4820 5302 7712 9640 10604 13255 19280 21208 26510 38560 42416 53020 84832 106040 212080 424160