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464140530 = 23457109751
BaseRepresentation
bin11011101010100…
…011100011110010
31012100100210010000
4123222203203302
51422304444110
6114020050430
714334062250
oct3352434362
91170323100
10464140530
11218aa4717
1210b533a16
137520b089
14458dd5d0
152ab331c0
hex1baa38f2

464140530 has 160 divisors (see below), whose sum is σ = 1441313280. Its totient is φ = 104976000.

The previous prime is 464140517. The next prime is 464140549. The reversal of 464140530 is 35041464.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 464140494 and 464140503.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 617655 + ... + 618405.

It is an arithmetic number, because the mean of its divisors is an integer number (9008208).

Almost surely, 2464140530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464140530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720656640).

464140530 is an abundant number, since it is smaller than the sum of its proper divisors (977172750).

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

464140530 is a wasteful number, since it uses less digits than its factorization.

464140530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 464140530 is about 21543.9209523243. The cubic root of 464140530 is about 774.2534774627.

Adding to 464140530 its reverse (35041464), we get a palindrome (499181994).

The spelling of 464140530 in words is "four hundred sixty-four million, one hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 109 126 135 162 189 210 218 270 315 327 378 405 545 567 630 654 751 763 810 945 981 1090 1134 1502 1526 1635 1890 1962 2253 2289 2835 2943 3270 3755 3815 4506 4578 4905 5257 5670 5886 6759 6867 7510 7630 8829 9810 10514 11265 11445 13518 13734 14715 15771 17658 20277 20601 22530 22890 26285 29430 31542 33795 34335 40554 41202 44145 47313 52570 60831 61803 67590 68670 78855 81859 88290 94626 101385 103005 121662 123606 141939 157710 163718 202770 206010 236565 245577 283878 304155 309015 409295 425817 473130 491154 573013 608310 618030 709695 736731 818590 851634 1146026 1227885 1419390 1473462 1719039 2129085 2210193 2455770 2865065 3438078 3683655 4258170 4420386 5157117 5730130 6630579 7367310 8595195 10314234 11050965 13261158 15471351 17190390 22101930 25785585 30942702 33152895 46414053 51571170 66305790 77356755 92828106 154713510 232070265 464140530