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1116718920 = 233351954421
BaseRepresentation
bin100001010001111…
…1100011101001000
32212211022012101000
41002203330131020
54241340001140
6302451055000
736446645202
oct10243743510
92784265330
101116718920
115233a44a9
12271ba1460
1314a485835
14a8451772
1568089a30
hex428fc748

1116718920 has 128 divisors (see below), whose sum is σ = 3918384000. Its totient is φ = 282113280.

The previous prime is 1116718907. The next prime is 1116718943. The reversal of 1116718920 is 298176111.

It is a super-2 number, since 2×11167189202 = 2494122292571932800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6691 + ... + 47730.

It is an arithmetic number, because the mean of its divisors is an integer number (30612375).

Almost surely, 21116718920 is an apocalyptic number.

1116718920 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 1116718920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959192000).

1116718920 is an abundant number, since it is smaller than the sum of its proper divisors (2801665080).

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

1116718920 is a wasteful number, since it uses less digits than its factorization.

1116718920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54460 (or 54450 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1116718920 is about 33417.3445982771. The cubic root of 1116718920 is about 1037.4837220071.

The spelling of 1116718920 in words is "one billion, one hundred sixteen million, seven hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 54421 108842 163263 217684 272105 326526 435368 489789 544210 653052 816315 979578 1033999 1088420 1306104 1469367 1632630 1959156 2067998 2176840 2448945 2938734 3101997 3265260 3918312 4135996 4897890 5169995 5877468 6203994 6530520 7346835 8271992 9305991 9795780 10339990 11754936 12407988 14693670 15509985 18611982 19591560 20679980 24815976 27917973 29387340 31019970 37223964 41359960 46529955 55835946 58774680 62039940 74447928 93059910 111671892 124079880 139589865 186119820 223343784 279179730 372239640 558359460 1116718920