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1116147120 = 2435111273329
BaseRepresentation
bin100001010000111…
…0000110110110000
32212210020011000020
41002201300312300
54241213201440
6302430523440
736442044144
oct10241606660
92783204006
101116147120
11523043940
12271966580
1314a3154aa
14a8343224
1567ec53d0
hex42870db0

1116147120 has 160 divisors (see below), whose sum is σ = 3805470720. Its totient is φ = 268369920.

The previous prime is 1116147113. The next prime is 1116147139. The reversal of 1116147120 is 217416111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 333616 + ... + 336944.

It is an arithmetic number, because the mean of its divisors is an integer number (23784192).

Almost surely, 21116147120 is an apocalyptic number.

1116147120 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 1116147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902735360).

1116147120 is an abundant number, since it is smaller than the sum of its proper divisors (2689323600).

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

1116147120 is a wasteful number, since it uses less digits than its factorization.

1116147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1116147120 is about 33408.7880654178. The cubic root of 1116147120 is about 1037.3066155265.

The spelling of 1116147120 in words is "one billion, one hundred sixteen million, one hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 165 176 220 240 254 264 330 381 440 508 528 635 660 762 880 1016 1270 1320 1397 1524 1905 2032 2540 2640 2794 3048 3329 3810 4191 5080 5588 6096 6658 6985 7620 8382 9987 10160 11176 13316 13970 15240 16645 16764 19974 20955 22352 26632 27940 30480 33290 33528 36619 39948 41910 49935 53264 55880 66580 67056 73238 79896 83820 99870 109857 111760 133160 146476 159792 167640 183095 199740 219714 266320 292952 335280 366190 399480 422783 439428 549285 585904 732380 798960 845566 878856 1098570 1268349 1464760 1691132 1757712 2113915 2197140 2536698 2929520 3382264 4227830 4394280 4650613 5073396 6341745 6764528 8455660 8788560 9301226 10146792 12683490 13951839 16911320 18602452 20293584 23253065 25366980 27903678 33822640 37204904 46506130 50733960 55807356 69759195 74409808 93012260 101467920 111614712 139518390 186024520 223229424 279036780 372049040 558073560 1116147120