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1134993040 = 245120111813
BaseRepresentation
bin100001110100110…
…1001111010010000
32221002200121202021
41003221221322100
54311024234130
6304342501224
740061165416
oct10351517220
92832617667
101134993040
11532746085
12278134814
131511b351c
14aaa4b2b6
156999937a
hex43a69e90

1134993040 has 40 divisors (see below), whose sum is σ = 2641279608. Its totient is φ = 453580800.

The previous prime is 1134993017. The next prime is 1134993053. The reversal of 1134993040 is 403994311.

It can be written as a sum of positive squares in 4 ways, for example, as 12475024 + 1122518016 = 3532^2 + 33504^2 .

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 = 1134992987 and 1134993005.

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, 90174 + ... + 101986.

Almost surely, 21134993040 is an apocalyptic number.

1134993040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134993040 is an abundant number, since it is smaller than the sum of its proper divisors (1506286568).

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

1134993040 is a wasteful number, since it uses less digits than its factorization.

1134993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13027 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1134993040 is about 33689.6577602088. The cubic root of 1134993040 is about 1043.1122991452.

The spelling of 1134993040 in words is "one billion, one hundred thirty-four million, nine hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1201 2402 4804 6005 9608 11813 12010 19216 23626 24020 47252 48040 59065 94504 96080 118130 189008 236260 472520 945040 14187413 28374826 56749652 70937065 113499304 141874130 226998608 283748260 567496520 1134993040