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1116027120 = 2435131073343
BaseRepresentation
bin100001010000101…
…0011100011110000
32212210000001101210
41002201103203300
54241200331440
6302424200120
736441034245
oct10241234360
92783001353
101116027120
11522a7176a
12271909040
1314a2a29a0
14a83115cc
1567e9ea80
hex428538f0

1116027120 has 160 divisors (see below), whose sum is σ = 3761759232. Its totient is φ = 272065536.

The previous prime is 1116027103. The next prime is 1116027127. The reversal of 1116027120 is 217206111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116027127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332169 + ... + 335511.

Almost surely, 21116027120 is an apocalyptic number.

1116027120 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 1116027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

1116027120 is an abundant number, since it is smaller than the sum of its proper divisors (2645732112).

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

1116027120 is a wasteful number, since it uses less digits than its factorization.

1116027120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1116027120 is about 33406.9920824967. The cubic root of 1116027120 is about 1037.2694396463.

The spelling of 1116027120 in words is "one billion, one hundred sixteen million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 107 120 130 156 195 208 214 240 260 312 321 390 428 520 535 624 642 780 856 1040 1070 1284 1391 1560 1605 1712 2140 2568 2782 3120 3210 3343 4173 4280 5136 5564 6420 6686 6955 8346 8560 10029 11128 12840 13372 13910 16692 16715 20058 20865 22256 25680 26744 27820 33384 33430 40116 41730 43459 50145 53488 55640 66768 66860 80232 83460 86918 100290 111280 130377 133720 160464 166920 173836 200580 217295 260754 267440 333840 347672 357701 401160 434590 521508 651885 695344 715402 802320 869180 1043016 1073103 1303770 1430804 1738360 1788505 2086032 2146206 2607540 2861608 3476720 3577010 4292412 4650113 5215080 5365515 5723216 7154020 8584824 9300226 10430160 10731030 13950339 14308040 17169648 18600452 21462060 23250565 27900678 28616080 37200904 42924120 46501130 55801356 69751695 74401808 85848240 93002260 111602712 139503390 186004520 223205424 279006780 372009040 558013560 1116027120