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447930 = 2345779
BaseRepresentation
bin1101101010110111010
3211202110000
41231112322
5103313210
613333430
73543630
oct1552672
9752400
10447930
1128659a
12197276
13128b62
14b9350
158cac0
hex6d5ba

447930 has 80 divisors (see below), whose sum is σ = 1393920. Its totient is φ = 101088.

The previous prime is 447907. The next prime is 447943. The reversal of 447930 is 39744.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 447894 and 447903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 447930.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5631 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (17424).

2447930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696960).

447930 is an abundant number, since it is smaller than the sum of its proper divisors (945990).

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

447930 is a wasteful number, since it uses less digits than its factorization.

447930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 447930 is about 669.2757279328. The cubic root of 447930 is about 76.5132618300.

The spelling of 447930 in words is "four hundred forty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 79 81 90 105 126 135 158 162 189 210 237 270 315 378 395 405 474 553 567 630 711 790 810 945 1106 1134 1185 1422 1659 1890 2133 2370 2765 2835 3318 3555 4266 4977 5530 5670 6399 7110 8295 9954 10665 12798 14931 16590 21330 24885 29862 31995 44793 49770 63990 74655 89586 149310 223965 447930