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1116072640 = 26523914593
BaseRepresentation
bin100001010000101…
…1110101011000000
32212210002100211201
41002201132223000
54241203311030
6302425150544
736441314044
oct10241365300
92783070751
101116072640
11522aa2991
1227192b454
1314a2ba617
14a8324024
1567ead2ca
hex4285eac0

1116072640 has 56 divisors (see below), whose sum is σ = 2668950720. Its totient is φ = 444530688.

The previous prime is 1116072623. The next prime is 1116072641. The reversal of 1116072640 is 462706111.

It is a junction number, because it is equal to n+sod(n) for n = 1116072599 and 1116072608.

It is not an unprimeable number, because it can be changed into a prime (1116072641) 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, 69184 + ... + 83776.

Almost surely, 21116072640 is an apocalyptic number.

1116072640 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 1116072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334475360).

1116072640 is an abundant number, since it is smaller than the sum of its proper divisors (1552878080).

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

1116072640 is a wasteful number, since it uses less digits than its factorization.

1116072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14849 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1116072640 is about 33407.6733700508. The cubic root of 1116072640 is about 1037.2835420105.

Adding to 1116072640 its reverse (462706111), we get a palindrome (1578778751).

The spelling of 1116072640 in words is "one billion, one hundred sixteen million, seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 239 320 478 956 1195 1912 2390 3824 4780 7648 9560 14593 15296 19120 29186 38240 58372 72965 76480 116744 145930 233488 291860 466976 583720 933952 1167440 2334880 3487727 4669760 6975454 13950908 17438635 27901816 34877270 55803632 69754540 111607264 139509080 223214528 279018160 558036320 1116072640