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1140121320 = 2335132173307
BaseRepresentation
bin100001111110100…
…1101111011101000
32221110100011102120
41003331031323220
54313332340240
6305044431240
740152604602
oct10375157350
92843304376
101140121320
11535629028
122799a8520
1315228a800
14ab5c4172
156a15dad0
hex43f4dee8

1140121320 has 192 divisors, whose sum is σ = 3922758720. Its totient is φ = 264056832.

The previous prime is 1140121309. The next prime is 1140121327. The reversal of 1140121320 is 231210411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1140121320.

It is not an unprimeable number, because it can be changed into a prime (1140121327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343107 + ... + 346413.

It is an arithmetic number, because the mean of its divisors is an integer number (20431035).

Almost surely, 21140121320 is an apocalyptic number.

1140121320 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 1140121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961379360).

1140121320 is an abundant number, since it is smaller than the sum of its proper divisors (2782637400).

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

1140121320 is a wasteful number, since it uses less digits than its factorization.

1140121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1140121320 is about 33765.6825786182. The cubic root of 1140121320 is about 1044.6809828766.

Adding to 1140121320 its reverse (231210411), we get a palindrome (1371331731).

The spelling of 1140121320 in words is "one billion, one hundred forty million, one hundred twenty-one thousand, three hundred twenty".