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1140321240 = 233551767103
BaseRepresentation
bin100001111110111…
…1110101111011000
32221110201022200000
41003331332233120
54313410234430
6305053013000
740154366502
oct10375765730
92843638600
101140321240
11535755253
12279a84160
1315232a7c6
14ab636d72
156a19ce60
hex43f7ebd8

1140321240 has 384 divisors, whose sum is σ = 4170216960. Its totient is φ = 279189504.

The previous prime is 1140321239. The next prime is 1140321253. The reversal of 1140321240 is 421230411.

1140321240 is a `hidden beast` number, since 1 + 1 + 403 + 21 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11071029 + ... + 11071131.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 21140321240 is an apocalyptic number.

1140321240 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 1140321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

1140321240 is an abundant number, since it is smaller than the sum of its proper divisors (3029895720).

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

1140321240 is a wasteful number, since it uses less digits than its factorization.

1140321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140321240 is about 33768.6428510238. The cubic root of 1140321240 is about 1044.7420408278.

Adding to 1140321240 its reverse (421230411), we get a palindrome (1561551651).

The spelling of 1140321240 in words is "one billion, one hundred forty million, three hundred twenty-one thousand, two hundred forty".