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1116699072 = 26337191823
BaseRepresentation
bin100001010001111…
…0111100111000000
32212211021012010220
41002203313213000
54241333332242
6302450423040
736446533266
oct10243674700
92784235126
101116699072
115233905a5
12271b91a80
1314a4797a8
14a8448436
1568083bec
hex428f79c0

1116699072 has 112 divisors (see below), whose sum is σ = 3054047232. Its totient is φ = 359838720.

The previous prime is 1116699071. The next prime is 1116699079. The reversal of 1116699072 is 2709966111.

It is a super-2 number, since 2×11166990722 = 2494033634811322368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116699071) 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, 1356453 + ... + 1357275.

Almost surely, 21116699072 is an apocalyptic number.

1116699072 is a gapful number since it is divisible by the number (12) 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 1116699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527023616).

1116699072 is an abundant number, since it is smaller than the sum of its proper divisors (1937348160).

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

1116699072 is a wasteful number, since it uses less digits than its factorization.

1116699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 1116699072 is about 33417.0476254262. The cubic root of 1116699072 is about 1037.4775753996.

The spelling of 1116699072 in words is "one billion, one hundred sixteen million, six hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 191 192 222 296 382 444 573 592 764 823 888 1146 1184 1528 1646 1776 2292 2368 2469 3056 3292 3552 4584 4938 6112 6584 7067 7104 9168 9876 12224 13168 14134 18336 19752 21201 26336 28268 30451 36672 39504 42402 52672 56536 60902 79008 84804 91353 113072 121804 157193 158016 169608 182706 226144 243608 314386 339216 365412 452288 471579 487216 628772 678432 730824 943158 974432 1257544 1356864 1461648 1886316 1948864 2515088 2923296 3772632 5030176 5816141 5846592 7545264 10060352 11632282 15090528 17448423 23264564 30181056 34896846 46529128 69793692 93058256 139587384 186116512 279174768 372233024 558349536 1116699072