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1141852140 = 2235511133153
BaseRepresentation
bin100010000001111…
…0100011111101100
32221120121002200000
41010003310133230
54314303232030
6305145504300
740203403662
oct10403643754
92846532600
101141852140
11536600460
1227a4a2090
13152745570
14ab914c32
156a3a1860
hex440f47ec

1141852140 has 576 divisors, whose sum is σ = 4438167552. Its totient is φ = 242611200.

The previous prime is 1141852121. The next prime is 1141852157. The reversal of 1141852140 is 412581411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21544354 + ... + 21544406.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 21141852140 is an apocalyptic number.

1141852140 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 1141852140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219083776).

1141852140 is an abundant number, since it is smaller than the sum of its proper divisors (3296315412).

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

1141852140 is a wasteful number, since it uses less digits than its factorization.

1141852140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1141852140 is about 33791.3027271811. The cubic root of 1141852140 is about 1045.2093595474.

The spelling of 1141852140 in words is "one billion, one hundred forty-one million, eight hundred fifty-two thousand, one hundred forty".