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470920 = 23561193
BaseRepresentation
bin1110010111110001000
3212220222111
41302332020
5110032140
614032104
74000642
oct1627610
9786874
10470920
112a189a
121a8634
13136468
14c3892
15947ea
hex72f88

470920 has 32 divisors (see below), whose sum is σ = 1082520. Its totient is φ = 184320.

The previous prime is 470903. The next prime is 470927. The reversal of 470920 is 29074.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 289444 = 426^2 + 538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 470891 and 470900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470927) 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, 2344 + ... + 2536.

2470920 is an apocalyptic number.

470920 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 470920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541260).

470920 is an abundant number, since it is smaller than the sum of its proper divisors (611600).

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

470920 is a wasteful number, since it uses less digits than its factorization.

470920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 470920 is about 686.2361109706. The cubic root of 470920 is about 77.8004982753.

Adding to 470920 its reverse (29074), we get a palindrome (499994).

The spelling of 470920 in words is "four hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 193 244 305 386 488 610 772 965 1220 1544 1930 2440 3860 7720 11773 23546 47092 58865 94184 117730 235460 470920