Search a number
-
+
315504200 = 235211612351
BaseRepresentation
bin10010110011100…
…011011001001000
3210222200021101202
4102303203121020
51121232113300
651150203332
710550512214
oct2263433110
9728607352
10315504200
11152103a80
12897b3548
1350498a9b
142dc8b944
151ca72ad5
hex12ce3648

315504200 has 96 divisors (see below), whose sum is σ = 813697920. Its totient is φ = 112800000.

The previous prime is 315504197. The next prime is 315504221. The reversal of 315504200 is 2405513.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133025 + ... + 135375.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2315504200 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 315504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406848960).

315504200 is an abundant number, since it is smaller than the sum of its proper divisors (498193720).

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

315504200 is a wasteful number, since it uses less digits than its factorization.

315504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 315504200 is about 17762.4378957394. The cubic root of 315504200 is about 680.7720469899.

Adding to 315504200 its reverse (2405513), we get a palindrome (317909713).

The spelling of 315504200 in words is "three hundred fifteen million, five hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2351 2440 2684 3050 3355 4702 5368 6100 6710 9404 11755 12200 13420 16775 18808 23510 25861 26840 33550 47020 51722 58775 67100 94040 103444 117550 129305 134200 143411 206888 235100 258610 286822 470200 517220 573644 646525 717055 1034440 1147288 1293050 1434110 1577521 2586100 2868220 3155042 3585275 5172200 5736440 6310084 7170550 7887605 12620168 14341100 15775210 28682200 31550420 39438025 63100840 78876050 157752100 315504200