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1116449760 = 25353317027
BaseRepresentation
bin100001010001011…
…1010101111100000
32212210210112011010
41002202322233200
54241302343020
6302441220520
736444444366
oct10242725740
92783715133
101116449760
11523230258
12271a91740
1314a3c017a
14a83c1636
1568034de0
hex428babe0

1116449760 has 96 divisors (see below), whose sum is σ = 3527943552. Its totient is φ = 296778240.

The previous prime is 1116449759. The next prime is 1116449767. The reversal of 1116449760 is 679446111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116449767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155367 + ... + 162393.

It is an arithmetic number, because the mean of its divisors is an integer number (36749412).

Almost surely, 21116449760 is an apocalyptic number.

1116449760 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 1116449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763971776).

1116449760 is an abundant number, since it is smaller than the sum of its proper divisors (2411493792).

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

1116449760 is a wasteful number, since it uses less digits than its factorization.

1116449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7368 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1116449760 is about 33413.3171056093. The cubic root of 1116449760 is about 1037.4003612640.

The spelling of 1116449760 in words is "one billion, one hundred sixteen million, four hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7027 7944 9930 10592 13240 14054 15888 19860 21081 26480 28108 31776 35135 39720 42162 52960 56216 70270 79440 84324 105405 112432 140540 158880 168648 210810 224864 281080 337296 421620 562160 674592 843240 1124320 1686480 2325937 3372960 4651874 6977811 9303748 11629685 13955622 18607496 23259370 27911244 34889055 37214992 46518740 55822488 69778110 74429984 93037480 111644976 139556220 186074960 223289952 279112440 372149920 558224880 1116449760