Search a number
-
+
464672730 = 235175317191
BaseRepresentation
bin11011101100100…
…101011111011010
31012101100211011010
4123230211133122
51422424011410
6114035314350
714341436664
oct3354453732
91171324133
10464672730
11219328555
1210b74b9b6
13753663a2
14459db534
152abdac20
hex1bb257da

464672730 has 64 divisors (see below), whose sum is σ = 1203164928. Its totient is φ = 114416640.

The previous prime is 464672729. The next prime is 464672779. The reversal of 464672730 is 37276464.

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, 18435 + ... + 35625.

It is an arithmetic number, because the mean of its divisors is an integer number (18799452).

Almost surely, 2464672730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464672730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601582464).

464672730 is an abundant number, since it is smaller than the sum of its proper divisors (738492198).

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

464672730 is a wasteful number, since it uses less digits than its factorization.

464672730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17271.

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 464672730 is about 21556.2689257673. The cubic root of 464672730 is about 774.5492932634.

The spelling of 464672730 in words is "four hundred sixty-four million, six hundred seventy-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 318 510 530 795 901 1590 1802 2703 4505 5406 9010 13515 17191 27030 34382 51573 85955 103146 171910 257865 292247 515730 584494 876741 911123 1461235 1753482 1822246 2733369 2922470 4383705 4555615 5466738 8767410 9111230 13666845 15489091 27333690 30978182 46467273 77445455 92934546 154890910 232336365 464672730