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1116312192 = 2734671607
BaseRepresentation
bin100001010001001…
…1001001010000000
32212210112112110000
41002202121022000
54241233442232
6302434240000
736443332332
oct10242311200
92783475400
101116312192
11523146966
12271a26000
1314a372678
14a8387452
156800927c
hex42899280

1116312192 has 160 divisors (see below), whose sum is σ = 3373809120. Its totient is φ = 366322176.

The previous prime is 1116312079. The next prime is 1116312203. The reversal of 1116312192 is 2912136111.

It is a happy number.

1116312192 is a `hidden beast` number, since 1 + 1 + 1 + 631 + 21 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 693853 + ... + 695459.

It is an arithmetic number, because the mean of its divisors is an integer number (21086307).

Almost surely, 21116312192 is an apocalyptic number.

1116312192 is a gapful number since it is divisible by the number (12) 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 1116312192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686904560).

1116312192 is an abundant number, since it is smaller than the sum of its proper divisors (2257496928).

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

1116312192 is an equidigital number, since it uses as much as digits as its factorization.

1116312192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 1116312192 is about 33411.2584617820. The cubic root of 1116312192 is about 1037.3577503139.

The spelling of 1116312192 in words is "one billion, one hundred sixteen million, three hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 268 288 324 384 402 432 536 576 603 648 804 864 1072 1152 1206 1296 1607 1608 1728 1809 2144 2412 2592 3214 3216 3456 3618 4288 4821 4824 5184 5427 6428 6432 7236 8576 9642 9648 10368 10854 12856 12864 14463 14472 19284 19296 21708 25712 25728 28926 28944 38568 38592 43389 43416 51424 57852 57888 77136 77184 86778 86832 102848 107669 115704 115776 130167 154272 173556 173664 205696 215338 231408 231552 260334 308544 323007 347112 347328 430676 462816 520668 617088 646014 694224 694656 861352 925632 969021 1041336 1292028 1388448 1722704 1851264 1938042 2082672 2584056 2776896 2907063 3445408 3876084 4165344 5168112 5553792 5814126 6890816 7752168 8330688 8721189 10336224 11628252 13781632 15504336 16661376 17442378 20672448 23256504 31008672 34884756 41344896 46513008 62017344 69769512 93026016 124034688 139539024 186052032 279078048 372104064 558156096 1116312192