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230587840 = 2657311331
BaseRepresentation
bin11011011111001…
…11110111000000
3121001220002001101
431233213313000
5433012302330
634514144144
75466651520
oct1557476700
9531802041
10230587840
1110918506a
1265282054
1338a06a12
14228a5680
151539c4ca
hexdbe7dc0

230587840 has 112 divisors (see below), whose sum is σ = 631448064. Its totient is φ = 78566400.

The previous prime is 230587793. The next prime is 230587859. The reversal of 230587840 is 48785032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 230587840.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 696475 + ... + 696805.

Almost surely, 2230587840 is an apocalyptic number.

230587840 is a gapful number since it is divisible by the number (20) 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 230587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315724032).

230587840 is an abundant number, since it is smaller than the sum of its proper divisors (400860224).

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

230587840 is a wasteful number, since it uses less digits than its factorization.

230587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 230587840 is about 15185.1190314729. The cubic root of 230587840 is about 613.2141020068.

It can be divided in two parts, 230 and 587840, that added together give a triangular number (588070 = T1084).

The spelling of 230587840 in words is "two hundred thirty million, five hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 311 320 331 448 560 622 662 1120 1244 1324 1555 1655 2177 2240 2317 2488 2648 3110 3310 4354 4634 4976 5296 6220 6620 8708 9268 9952 10592 10885 11585 12440 13240 17416 18536 19904 21184 21770 23170 24880 26480 34832 37072 43540 46340 49760 52960 69664 74144 87080 92680 99520 102941 105920 139328 148288 174160 185360 205882 348320 370720 411764 514705 696640 720587 741440 823528 1029410 1441174 1647056 2058820 2882348 3294112 3602935 4117640 5764696 6588224 7205870 8235280 11529392 14411740 16470560 23058784 28823480 32941120 46117568 57646960 115293920 230587840