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1091157840 = 243251931283
BaseRepresentation
bin100000100001001…
…1011111101010000
32211001012120011100
41001002123331100
54213314022330
6300135144400
736016455123
oct10102337520
92731176140
101091157840
1150aa26043
12265515100
131450a6136
14a4cba3ba
1565bdb060
hex4109bf50

1091157840 has 360 divisors, whose sum is σ = 4033804320. Its totient is φ = 263554560.

The previous prime is 1091157833. The next prime is 1091157841. The reversal of 1091157840 is 487511901.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 1091157795 and 1091157804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091157841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13146439 + ... + 13146521.

It is an arithmetic number, because the mean of its divisors is an integer number (11205012).

Almost surely, 21091157840 is an apocalyptic number.

1091157840 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 1091157840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016902160).

1091157840 is an abundant number, since it is smaller than the sum of its proper divisors (2942646480).

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

1091157840 is a wasteful number, since it uses less digits than its factorization.

1091157840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1091157840 is about 33032.6783655216. The cubic root of 1091157840 is about 1029.5067358826.

The spelling of 1091157840 in words is "one billion, ninety-one million, one hundred fifty-seven thousand, eight hundred forty".