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1135916240 = 24514198953
BaseRepresentation
bin100001110110100…
…1011010011010000
32221011102112010212
41003231023103100
54311243304430
6304414343252
740102062104
oct10355132320
92834375125
101135916240
11533216758
122784bab28
131514477b4
14aac0b904
1569accb95
hex43b4b4d0

1135916240 has 20 divisors (see below), whose sum is σ = 2641005444. Its totient is φ = 454366464.

The previous prime is 1135916237. The next prime is 1135916267. The reversal of 1135916240 is 426195311.

It can be written as a sum of positive squares in 2 ways, for example, as 207129664 + 928786576 = 14392^2 + 30476^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1135916197 and 1135916206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7099397 + ... + 7099556.

Almost surely, 21135916240 is an apocalyptic number.

1135916240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135916240 is an abundant number, since it is smaller than the sum of its proper divisors (1505089204).

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

1135916240 is a wasteful number, since it uses less digits than its factorization.

1135916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14198966 (or 14198960 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1135916240 is about 33703.3565094042. The cubic root of 1135916240 is about 1043.3950439897.

The spelling of 1135916240 in words is "one billion, one hundred thirty-five million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14198953 28397906 56795812 70994765 113591624 141989530 227183248 283979060 567958120 1135916240