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11540234000 = 24535770117
BaseRepresentation
bin10101011111101100…
…11111111100010000
31002210020222121222002
422233312133330100
5142113244442000
65145043133132
7555656241041
oct125766377420
932706877862
1011540234000
114992185679
1222a09741a8
13111bb28939
147b693a8c8
154782038d5
hex2afd9ff10

11540234000 has 40 divisors (see below), whose sum is σ = 27904290648. Its totient is φ = 4616092800.

The previous prime is 11540233963. The next prime is 11540234009. The reversal of 11540234000 is 43204511.

It can be written as a sum of positive squares in 4 ways, for example, as 3659766016 + 7880467984 = 60496^2 + 88772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (11540234009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2883059 + ... + 2887058.

Almost surely, 211540234000 is an apocalyptic number.

11540234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540234000 is an abundant number, since it is smaller than the sum of its proper divisors (16364056648).

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

11540234000 is an equidigital number, since it uses as much as digits as its factorization.

11540234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770140 (or 5770124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11540234000 its reverse (43204511), we get a palindrome (11583438511).

The spelling of 11540234000 in words is "eleven billion, five hundred forty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5770117 11540234 23080468 28850585 46160936 57701170 92321872 115402340 144252925 230804680 288505850 461609360 577011700 721264625 1154023400 1442529250 2308046800 2885058500 5770117000 11540234000