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11540204340 = 22357167164531
BaseRepresentation
bin10101011111101100…
…11000101100110100
31002210020221010021120
422233312120230310
5142113243014330
65145042343540
7555656055420
oct125766305464
932706833246
1011540204340
114992165365
1222a095abb0
13111bb182a2
147b692db80
154781e9c10
hex2afd98b34

11540204340 has 96 divisors (see below), whose sum is σ = 37150009344. Its totient is φ = 2621950080.

The previous prime is 11540204329. The next prime is 11540204387. The reversal of 11540204340 is 4340204511.

It is a self number, because there is not a number n which added to its sum of digits gives 11540204340.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12126 + ... + 152405.

It is an arithmetic number, because the mean of its divisors is an integer number (386979264).

Almost surely, 211540204340 is an apocalyptic number.

11540204340 is a gapful number since it is divisible by the number (10) 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 11540204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575004672).

11540204340 is an abundant number, since it is smaller than the sum of its proper divisors (25609805004).

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

11540204340 is a wasteful number, since it uses less digits than its factorization.

11540204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164717 (or 164715 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11540204340 its reverse (4340204511), we get a palindrome (15880408851).

The spelling of 11540204340 in words is "eleven billion, five hundred forty million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 2004 2338 2505 3340 3507 4676 5010 5845 7014 10020 11690 14028 17535 23380 35070 70140 164531 329062 493593 658124 822655 987186 1151717 1645310 1974372 2303434 2467965 3290620 3455151 4606868 4935930 5758585 6910302 9871860 11517170 13820604 17275755 23034340 27476677 34551510 54953354 69103020 82430031 109906708 137383385 164860062 192336739 274766770 329720124 384673478 412150155 549533540 577010217 769346956 824300310 961683695 1154020434 1648600620 1923367390 2308040868 2885051085 3846734780 5770102170 11540204340