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1140054240 = 253513182701
BaseRepresentation
bin100001111110011…
…1101100011100000
32221110012202102010
41003330331203200
54313323213430
6305043152520
740152205203
oct10374754340
92843182363
101140054240
11535592696
12279975740
13152266110
14ab5a793a
156a148cb0
hex43f3d8e0

1140054240 has 96 divisors (see below), whose sum is σ = 3867435936. Its totient is φ = 280627200.

The previous prime is 1140054229. The next prime is 1140054247. The reversal of 1140054240 is 424500411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140054247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85111 + ... + 97590.

It is an arithmetic number, because the mean of its divisors is an integer number (40285791).

Almost surely, 21140054240 is an apocalyptic number.

1140054240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140054240 is an abundant number, since it is smaller than the sum of its proper divisors (2727381696).

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

1140054240 is a wasteful number, since it uses less digits than its factorization.

1140054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182732 (or 182724 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1140054240 is about 33764.6892477926. The cubic root of 1140054240 is about 1044.6604942457.

Adding to 1140054240 its reverse (424500411), we get a palindrome (1564554651).

The spelling of 1140054240 in words is "one billion, one hundred forty million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 182701 365402 548103 730804 913505 1096206 1461608 1827010 2192412 2375113 2740515 2923216 3654020 4384824 4750226 5481030 5846432 7125339 7308040 8769648 9500452 10962060 11875565 14250678 14616080 17539296 19000904 21924120 23751130 28501356 29232160 35626695 38001808 43848240 47502260 57002712 71253390 76003616 87696480 95004520 114005424 142506780 190009040 228010848 285013560 380018080 570027120 1140054240