Search a number
-
+
467480 = 235132931
BaseRepresentation
bin1110010001000011000
3212202021002
41302020120
5104424410
614004132
73654626
oct1621030
9782232
10467480
1129a252
121a6648
13134a20
14c2516
15937a5
hex72218

467480 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 161280.

The previous prime is 467479. The next prime is 467491. The reversal of 467480 is 84764.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15065 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2467480 is an apocalyptic number.

467480 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 467480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

467480 is an abundant number, since it is smaller than the sum of its proper divisors (742120).

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

467480 is a wasteful number, since it uses less digits than its factorization.

467480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 467480 is about 683.7250909540. The cubic root of 467480 is about 77.6105947911.

The spelling of 467480 in words is "four hundred sixty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 31 40 52 58 62 65 104 116 124 130 145 155 232 248 260 290 310 377 403 520 580 620 754 806 899 1160 1240 1508 1612 1798 1885 2015 3016 3224 3596 3770 4030 4495 7192 7540 8060 8990 11687 15080 16120 17980 23374 35960 46748 58435 93496 116870 233740 467480