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1135461040 = 24572027609
BaseRepresentation
bin100001110101101…
…1100001010110000
32221010120101201121
41003223130022300
54311134223130
6304400512024
740065155020
oct10353341260
92833511647
101135461040
11532a3575a
1227831b614
1315131854c
14aab2da80
1569a3cd7a
hex43adc2b0

1135461040 has 40 divisors (see below), whose sum is σ = 3017083680. Its totient is φ = 389300736.

The previous prime is 1135461031. The next prime is 1135461073. The reversal of 1135461040 is 401645311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1135460996 and 1135461014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013245 + ... + 1014364.

It is an arithmetic number, because the mean of its divisors is an integer number (75427092).

Almost surely, 21135461040 is an apocalyptic number.

1135461040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135461040 is an abundant number, since it is smaller than the sum of its proper divisors (1881622640).

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

1135461040 is a wasteful number, since it uses less digits than its factorization.

1135461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027629 (or 2027623 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1135461040 is about 33696.6027961277. The cubic root of 1135461040 is about 1043.2556508241.

The spelling of 1135461040 in words is "one billion, one hundred thirty-five million, four hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2027609 4055218 8110436 10138045 14193263 16220872 20276090 28386526 32441744 40552180 56773052 70966315 81104360 113546104 141932630 162208720 227092208 283865260 567730520 1135461040