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1116509040 = 243253741911
BaseRepresentation
bin100001010001100…
…1001001101110000
32212210220112110200
41002203021031300
54241311242130
6302442355200
736445112253
oct10243111560
92783815420
101116509040
11523270849
12271abbb00
1314a41114a
14a83d909a
1568047760
hex428c9370

1116509040 has 120 divisors (see below), whose sum is σ = 3851042208. Its totient is φ = 289681920.

The previous prime is 1116508999. The next prime is 1116509057. The reversal of 1116509040 is 409056111.

1116509040 is a `hidden beast` number, since 1 + 1 + 1 + 650 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1116508995 and 1116509013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5685 + ... + 47595.

Almost surely, 21116509040 is an apocalyptic number.

1116509040 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 1116509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925521104).

1116509040 is an abundant number, since it is smaller than the sum of its proper divisors (2734533168).

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

1116509040 is a wasteful number, since it uses less digits than its factorization.

1116509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41967 (or 41958 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1116509040 is about 33414.2041652947. The cubic root of 1116509040 is about 1037.4187218469.

The spelling of 1116509040 in words is "one billion, one hundred sixteen million, five hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 41911 83822 125733 167644 209555 251466 335288 377199 419110 502932 628665 670576 754398 838220 1005864 1257330 1508796 1550707 1676440 1885995 2011728 2514660 3017592 3101414 3352880 3771990 4652121 5029320 6035184 6202828 7543980 7753535 9304242 10058640 12405656 13956363 15087960 15507070 18608484 23260605 24811312 27912726 30175920 31014140 37216968 46521210 55825452 62028280 69781815 74433936 93042420 111650904 124056560 139563630 186084840 223301808 279127260 372169680 558254520 1116509040