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1116076360 = 235736710861
BaseRepresentation
bin100001010000101…
…1111100101001000
32212210002112221111
41002201133211020
54241203420420
6302425220104
736441330640
oct10241374510
92783075844
101116076360
11522aa5763
12271931634
1314a2bc219
14a8325520
1567eae45a
hex4285f948

1116076360 has 64 divisors (see below), whose sum is σ = 2877995520. Its totient is φ = 381576960.

The previous prime is 1116076343. The next prime is 1116076363. The reversal of 1116076360 is 636706111.

It is not an unprimeable number, because it can be changed into a prime (1116076363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97330 + ... + 108190.

It is an arithmetic number, because the mean of its divisors is an integer number (44968680).

Almost surely, 21116076360 is an apocalyptic number.

1116076360 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 1116076360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438997760).

1116076360 is an abundant number, since it is smaller than the sum of its proper divisors (1761919160).

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

1116076360 is a wasteful number, since it uses less digits than its factorization.

1116076360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11246 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1116076360 is about 33407.7290458361. The cubic root of 1116076360 is about 1037.2846944715.

The spelling of 1116076360 in words is "one billion, one hundred sixteen million, seventy-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 367 734 1468 1835 2569 2936 3670 5138 7340 10276 10861 12845 14680 20552 21722 25690 43444 51380 54305 76027 86888 102760 108610 152054 217220 304108 380135 434440 608216 760270 1520540 3041080 3985987 7971974 15943948 19929935 27901909 31887896 39859870 55803818 79719740 111607636 139509545 159439480 223215272 279019090 558038180 1116076360