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1148195840 = 210511192937
BaseRepresentation
bin100010001110000…
…0001010000000000
32222000112101120212
41010130001100000
54322414231330
6305533453252
740311334511
oct10434012000
92860471525
101148195840
1153a143590
12280641228
13153b56b2c
14ac6c6a08
156ac06295
hex44701400

1148195840 has 352 divisors, whose sum is σ = 3360355200. Its totient is φ = 371589120.

The previous prime is 1148195819. The next prime is 1148195879. The reversal of 1148195840 is 485918411.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31032302 + ... + 31032338.

Almost surely, 21148195840 is an apocalyptic number.

1148195840 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 1148195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680177600).

1148195840 is an abundant number, since it is smaller than the sum of its proper divisors (2212159360).

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

1148195840 is a wasteful number, since it uses less digits than its factorization.

1148195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The square root of 1148195840 is about 33885.0385863732. The cubic root of 1148195840 is about 1047.1413824711.

The spelling of 1148195840 in words is "one billion, one hundred forty-eight million, one hundred ninety-five thousand, eight hundred forty".