Search a number
-
+
447720 = 233571341
BaseRepresentation
bin1101101010011101000
3211202011020
41231103220
5103311340
613332440
73543210
oct1552350
9752136
10447720
11286419
12197120
13128a30
14b9240
158c9d0
hex6d4e8

447720 has 128 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 92160.

The previous prime is 447703. The next prime is 447743. The reversal of 447720 is 27744.

Adding to 447720 its sum of digits (24), we get a palindrome (447744).

447720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 48 + 49 + 73 + 76 + 211 + 0 .

It is a cake number, because a cake can be divided into 447720 parts by 139 planar cuts.

It is an unprimeable number.

447720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10900 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2447720 is an apocalyptic number.

447720 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 447720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

447720 is an abundant number, since it is smaller than the sum of its proper divisors (1245720).

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

447720 is a wasteful number, since it uses less digits than its factorization.

447720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 447720 is about 669.1188235284. The cubic root of 447720 is about 76.5013028955.

The spelling of 447720 in words is "four hundred forty-seven thousand, seven hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 41 42 52 56 60 65 70 78 82 84 91 104 105 120 123 130 140 156 164 168 182 195 205 210 246 260 273 280 287 312 328 364 390 410 420 455 492 520 533 546 574 615 728 780 820 840 861 910 984 1066 1092 1148 1230 1365 1435 1560 1599 1640 1722 1820 2132 2184 2296 2460 2665 2730 2870 3198 3444 3640 3731 4264 4305 4920 5330 5460 5740 6396 6888 7462 7995 8610 10660 10920 11193 11480 12792 14924 15990 17220 18655 21320 22386 29848 31980 34440 37310 44772 55965 63960 74620 89544 111930 149240 223860 447720