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460450140 = 22351132601
BaseRepresentation
bin11011011100011…
…110100101011100
31012002102021211220
4123130132211130
51420333401030
6113405013340
714260522143
oct3334364534
91162367756
10460450140
11216a04007
1210a254250
1374518407
144521c75a
152a654a10
hex1b71e95c

460450140 has 72 divisors (see below), whose sum is σ = 1302935088. Its totient is φ = 121497600.

The previous prime is 460450097. The next prime is 460450141. The reversal of 460450140 is 41054064.

It is a self number, because there is not a number n which added to its sum of digits gives 460450140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460450141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765840 + ... + 766440.

Almost surely, 2460450140 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 460450140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651467544).

460450140 is an abundant number, since it is smaller than the sum of its proper divisors (842484948).

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

460450140 is a wasteful number, since it uses less digits than its factorization.

460450140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 460450140 is about 21458.1019663902. The cubic root of 460450140 is about 772.1959801153.

The spelling of 460450140 in words is "four hundred sixty million, four hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 601 678 1130 1202 1356 1695 1803 2260 2404 3005 3390 3606 6010 6780 7212 9015 12020 12769 18030 25538 36060 38307 51076 63845 67913 76614 127690 135826 153228 191535 203739 255380 271652 339565 383070 407478 679130 766140 814956 1018695 1358260 2037390 4074780 7674169 15348338 23022507 30696676 38370845 46045014 76741690 92090028 115112535 153483380 230225070 460450140