Search a number
-
+
1340000200 = 235271187013
BaseRepresentation
bin100111111011110…
…1100011111001000
310110101110001201001
41033313230133020
510221020001300
6340544504344
745130546060
oct11767543710
93411401631
101340000200
11628438a90
1231491b0b4
13184801936
14c9d743a0
157c99216a
hex4fdec7c8

1340000200 has 96 divisors (see below), whose sum is σ = 3884304960. Its totient is φ = 417657600.

The previous prime is 1340000183. The next prime is 1340000227. The reversal of 1340000200 is 20000431.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28107 + ... + 58906.

It is an arithmetic number, because the mean of its divisors is an integer number (40461510).

Almost surely, 21340000200 is an apocalyptic number.

1340000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340000200 is an abundant number, since it is smaller than the sum of its proper divisors (2544304760).

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

1340000200 is a wasteful number, since it uses less digits than its factorization.

1340000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87047 (or 87038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1340000200 is about 36606.0131672380. The cubic root of 1340000200 is about 1102.4738262992.

Adding to 1340000200 its reverse (20000431), we get a palindrome (1360000631).

The spelling of 1340000200 in words is "one billion, three hundred forty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 87013 174026 348052 435065 609091 696104 870130 957143 1218182 1740260 1914286 2175325 2436364 3045455 3480520 3828572 4350650 4785715 4872728 6090910 6700001 7657144 8701300 9571430 12181820 13400002 15227275 17402600 19142860 23928575 24363640 26800004 30454550 33500005 38285720 47857150 53600008 60909100 67000010 95714300 121818200 134000020 167500025 191428600 268000040 335000050 670000100 1340000200