[go: up one dir, main page]

Search a number
-
+
200315040 = 25353711279
BaseRepresentation
bin10111111000010…
…01000010100000
3111221221001120120
423330021002200
5402240040130
631513240240
74651435602
oct1374110240
9457831516
10200315040
11a3088722
1257103080
1332667813
141c865172
15128bc910
hexbf090a0

200315040 has 96 divisors (see below), whose sum is σ = 648103680. Its totient is φ = 51969024.

The previous prime is 200315039. The next prime is 200315051. The reversal of 200315040 is 40513002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2003150402 = 80252230500403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12121 + ... + 23399.

It is an arithmetic number, because the mean of its divisors is an integer number (6751080).

Almost surely, 2200315040 is an apocalyptic number.

200315040 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 200315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324051840).

200315040 is an abundant number, since it is smaller than the sum of its proper divisors (447788640).

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

200315040 is a wasteful number, since it uses less digits than its factorization.

200315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 200315040 is about 14153.2695869188. The cubic root of 200315040 is about 585.1104474055.

Adding to 200315040 its reverse (40513002), we get a palindrome (240828042).

The spelling of 200315040 in words is "two hundred million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 11279 17760 22558 33837 45116 56395 67674 90232 112790 135348 169185 180464 225580 270696 338370 360928 417323 451160 541392 676740 834646 902320 1082784 1251969 1353480 1669292 1804640 2086615 2503938 2706960 3338584 4173230 5007876 5413920 6259845 6677168 8346460 10015752 12519690 13354336 16692920 20031504 25039380 33385840 40063008 50078760 66771680 100157520 200315040