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1160216040 = 233527135677
BaseRepresentation
bin100010100100111…
…0111110111101000
32222212011002012110
41011021313313220
54334003403130
6311043242320
740515450024
oct10511676750
92885132173
101160216040
11545a03535
122846793a0
131564a5089
14b0135384
156bcccab0
hex45277de8

1160216040 has 64 divisors (see below), whose sum is σ = 3493589760. Its totient is φ = 308240640.

The previous prime is 1160216033. The next prime is 1160216053. The reversal of 1160216040 is 406120611.

It is a super-2 number, since 2×11602160402 = 2692202518946563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1160215998 and 1160216016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14682 + ... + 50358.

It is an arithmetic number, because the mean of its divisors is an integer number (54587340).

Almost surely, 21160216040 is an apocalyptic number.

1160216040 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 1160216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746794880).

1160216040 is an abundant number, since it is smaller than the sum of its proper divisors (2333373720).

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

1160216040 is a wasteful number, since it uses less digits than its factorization.

1160216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35962 (or 35958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1160216040 is about 34061.9441606025. The cubic root of 1160216040 is about 1050.7827994797.

Adding to 1160216040 its reverse (406120611), we get a palindrome (1566336651).

The spelling of 1160216040 in words is "one billion, one hundred sixty million, two hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 35677 71354 107031 142708 178385 214062 285416 356770 428124 535155 713540 856248 1070310 1427080 2140620 4281240 9668467 19336934 29005401 38673868 48342335 58010802 77347736 96684670 116021604 145027005 193369340 232043208 290054010 386738680 580108020 1160216040