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1135335040 = 2757253423
BaseRepresentation
bin100001110101011…
…1101011010000000
32221010022222212221
41003222331122000
54311121210130
6304354100424
740064121460
oct10352753200
92833288787
101135335040
1153295a024
1227827a714
131512a30a8
14aaad9ba0
1569a1587a
hex43abd680

1135335040 has 64 divisors (see below), whose sum is σ = 3101909760. Its totient is φ = 389256192.

The previous prime is 1135335037. The next prime is 1135335043. The reversal of 1135335040 is 405335311.

It is an interprime number because it is at equal distance from previous prime (1135335037) and next prime (1135335043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1135334996 and 1135335014.

It is not an unprimeable number, because it can be changed into a prime (1135335043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122232 + ... + 131191.

It is an arithmetic number, because the mean of its divisors is an integer number (48467340).

Almost surely, 21135335040 is an apocalyptic number.

1135335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135335040 is an abundant number, since it is smaller than the sum of its proper divisors (1966574720).

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

1135335040 is an equidigital number, since it uses as much as digits as its factorization.

1135335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253449 (or 253437 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1135335040 is about 33694.7331195841. The cubic root of 1135335040 is about 1043.2170600168.

The spelling of 1135335040 in words is "one billion, one hundred thirty-five million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 253423 506846 1013692 1267115 1773961 2027384 2534230 3547922 4054768 5068460 7095844 8109536 8869805 10136920 14191688 16219072 17739610 20273840 28383376 32438144 35479220 40547680 56766752 70958440 81095360 113533504 141916880 162190720 227067008 283833760 567667520 1135335040