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1141802928 = 243275973263
BaseRepresentation
bin100010000001110…
…1000011110110000
32221120111121011100
41010003220132300
54314300143203
6305144444400
740203110340
oct10403503660
92846447140
101141802928
11536577492
1227a479700
13152729046
14ab900d20
156a391ea3
hex440e87b0

1141802928 has 240 divisors, whose sum is σ = 3779043840. Its totient is φ = 315104256.

The previous prime is 1141802927. The next prime is 1141802933. The reversal of 1141802928 is 8292081411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1141802892 and 1141802901.

It is not an unprimeable number, because it can be changed into a prime (1141802923) 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, 4341325 + ... + 4341587.

It is an arithmetic number, because the mean of its divisors is an integer number (15746016).

Almost surely, 21141802928 is an apocalyptic number.

1141802928 is a gapful number since it is divisible by the number (18) 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 1141802928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889521920).

1141802928 is an abundant number, since it is smaller than the sum of its proper divisors (2637240912).

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

1141802928 is a wasteful number, since it uses less digits than its factorization.

1141802928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1141802928 is about 33790.5745437985. The cubic root of 1141802928 is about 1045.1943437148.

The spelling of 1141802928 in words is "one billion, one hundred forty-one million, eight hundred two thousand, nine hundred twenty-eight".