Search a number
-
+
448140 = 223571197
BaseRepresentation
bin1101101011010001100
3211202201210
41231122030
5103320030
613334420
73544350
oct1553214
9752653
10448140
11286770
12197410
13128c94
14b9460
158cbb0
hex6d68c

448140 has 96 divisors (see below), whose sum is σ = 1580544. Its totient is φ = 92160.

The previous prime is 448139. The next prime is 448141. The reversal of 448140 is 41844.

It is an interprime number because it is at equal distance from previous prime (448139) and next prime (448141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448140.

It is not an unprimeable number, because it can be changed into a prime (448141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4572 + ... + 4668.

It is an arithmetic number, because the mean of its divisors is an integer number (16464).

2448140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790272).

448140 is an abundant number, since it is smaller than the sum of its proper divisors (1132404).

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

448140 is a wasteful number, since it uses less digits than its factorization.

448140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 448140 is about 669.4325955613. The cubic root of 448140 is about 76.5252170274.

Adding to 448140 its reverse (41844), we get a palindrome (489984).

The spelling of 448140 in words is "four hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 97 105 110 132 140 154 165 194 210 220 231 291 308 330 385 388 420 462 485 582 660 679 770 924 970 1067 1155 1164 1358 1455 1540 1940 2037 2134 2310 2716 2910 3201 3395 4074 4268 4620 5335 5820 6402 6790 7469 8148 10185 10670 12804 13580 14938 16005 20370 21340 22407 29876 32010 37345 40740 44814 64020 74690 89628 112035 149380 224070 448140