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1116276840 = 233257263281
BaseRepresentation
bin100001010001001…
…0000100001101000
32212210110201221200
41002202100201220
54241231324330
6302433404200
736443124300
oct10242204150
92783421850
101116276840
11523122348
12271a09660
1314a35c553
14a8378600
1567eeda60
hex42890868

1116276840 has 144 divisors (see below), whose sum is σ = 4220276580. Its totient is φ = 255144960.

The previous prime is 1116276829. The next prime is 1116276841. The reversal of 1116276840 is 486726111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1037741796 + 78535044 = 32214^2 + 8862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1116276795 and 1116276804.

It is not an unprimeable number, because it can be changed into a prime (1116276841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14001 + ... + 49280.

Almost surely, 21116276840 is an apocalyptic number.

1116276840 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 1116276840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110138290).

1116276840 is an abundant number, since it is smaller than the sum of its proper divisors (3103999740).

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

1116276840 is a wasteful number, since it uses less digits than its factorization.

1116276840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63312 (or 63298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1116276840 is about 33410.7294143663. The cubic root of 1116276840 is about 1037.3467996562.

The spelling of 1116276840 in words is "one billion, one hundred sixteen million, two hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 63281 126562 189843 253124 316405 379686 442967 506248 569529 632810 759372 885934 949215 1139058 1265620 1328901 1518744 1771868 1898430 2214835 2278116 2531240 2657802 2847645 3100769 3543736 3796860 3986703 4429670 4556232 5315604 5695290 6201538 6644505 7593720 7973406 8859340 9302307 10631208 11390580 12403076 13289010 15503845 15946812 17718680 18604614 19933515 22781160 24806152 26578020 27906921 31007690 31893624 37209228 39867030 46511535 53156040 55813842 62015380 74418456 79734060 93023070 111627684 124030760 139534605 159468120 186046140 223255368 279069210 372092280 558138420 1116276840