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1121089158 = 23274126779
BaseRepresentation
bin100001011010010…
…0111011010000110
32220010112020012200
41002310213122012
54243444323113
6303124455330
736532046340
oct10264473206
92803466180
101121089158
11525909972
1227354a546
1314b355a87
14a8c6c290
156864e873
hex42d27686

1121089158 has 144 divisors (see below), whose sum is σ = 2924413440. Its totient is φ = 303937920.

The previous prime is 1121089141. The next prime is 1121089169. The reversal of 1121089158 is 8519801211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14190963 + ... + 14191041.

Almost surely, 21121089158 is an apocalyptic number.

1121089158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121089158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462206720).

1121089158 is an abundant number, since it is smaller than the sum of its proper divisors (1803324282).

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

1121089158 is a wasteful number, since it uses less digits than its factorization.

1121089158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The square root of 1121089158 is about 33482.6695172294. The cubic root of 1121089158 is about 1038.8353450276.

The spelling of 1121089158 in words is "one billion, one hundred twenty-one million, eighty-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 67 79 82 123 126 134 158 201 237 246 287 369 402 469 474 553 574 603 711 738 861 938 1106 1206 1407 1422 1659 1681 1722 2583 2747 2814 3239 3318 3362 4221 4977 5043 5166 5293 5494 6478 8241 8442 9717 9954 10086 10586 11767 15129 15879 16482 19229 19434 22673 23534 24723 29151 30258 31758 35301 37051 38458 45346 47637 49446 57687 58302 68019 70602 74102 95274 105903 111153 112627 115374 132799 136038 173061 204057 211806 217013 222306 225254 265598 333459 337881 346122 398397 408114 434026 651039 666918 675762 788389 796794 929593 1013643 1195191 1302078 1519091 1576778 1859186 1953117 2027286 2365167 2390382 2788779 3038182 3906234 4557273 4730334 5577558 7095501 8366337 8897533 9114546 13671819 14191002 16732674 17795066 26692599 27343638 53385198 62282731 80077797 124565462 160155594 186848193 373696386 560544579 1121089158