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470820 = 223571959
BaseRepresentation
bin1110010111100100100
3212220211210
41302330210
5110031240
614031420
74000440
oct1627444
9786753
10470820
112a1809
121a8570
131363bc
14c3820
1594780
hex72f24

470820 has 96 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 100224.

The previous prime is 470819. The next prime is 470831. The reversal of 470820 is 28074.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7951 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2470820 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 470820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

470820 is an abundant number, since it is smaller than the sum of its proper divisors (1141980).

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

470820 is a wasteful number, since it uses less digits than its factorization.

470820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 470820 is about 686.1632458825. The cubic root of 470820 is about 77.7949908993.

Adding to 470820 its reverse (28074), we get a palindrome (498894).

The spelling of 470820 in words is "four hundred seventy thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 59 60 70 76 84 95 105 114 118 133 140 177 190 210 228 236 266 285 295 354 380 399 413 420 532 570 590 665 708 798 826 885 1121 1140 1180 1239 1330 1596 1652 1770 1995 2065 2242 2478 2660 3363 3540 3990 4130 4484 4956 5605 6195 6726 7847 7980 8260 11210 12390 13452 15694 16815 22420 23541 24780 31388 33630 39235 47082 67260 78470 94164 117705 156940 235410 470820