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1133286096 = 243173171631
BaseRepresentation
bin100001110001100…
…1001001011010000
32220222110220021010
41003203021023100
54310110123341
6304242130520
740040526045
oct10343111320
92828426233
101133286096
1153178a688
12277650a40
13150a365b7
14aa7251cc
156975d716
hex438c92d0

1133286096 has 160 divisors (see below), whose sum is σ = 3250077696. Its totient is φ = 338688000.

The previous prime is 1133286029. The next prime is 1133286139. The reversal of 1133286096 is 6906823311.

It is a congruent number.

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, 1795701 + ... + 1796331.

Almost surely, 21133286096 is an apocalyptic number.

1133286096 is a gapful number since it is divisible by the number (16) 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 1133286096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625038848).

1133286096 is an abundant number, since it is smaller than the sum of its proper divisors (2116791600).

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

1133286096 is a wasteful number, since it uses less digits than its factorization.

1133286096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1133286096 is about 33664.3148749533. The cubic root of 1133286096 is about 1042.5891160182.

The spelling of 1133286096 in words is "one billion, one hundred thirty-three million, two hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 71 93 102 124 136 142 186 204 213 248 272 284 372 408 426 496 527 568 631 744 816 852 1054 1136 1207 1262 1488 1581 1704 1893 2108 2201 2414 2524 3162 3408 3621 3786 4216 4402 4828 5048 6324 6603 7242 7572 8432 8804 9656 10096 10727 12648 13206 14484 15144 17608 19312 19561 21454 25296 26412 28968 30288 32181 35216 37417 39122 42908 44801 52824 57936 58683 64362 74834 78244 85816 89602 105648 112251 117366 128724 134403 149668 156488 171632 179204 224502 234732 257448 268806 299336 312976 332537 358408 449004 469464 514896 537612 598672 665074 716816 761617 898008 938928 997611 1075224 1330148 1388831 1523234 1796016 1995222 2150448 2284851 2660296 2777662 3046468 3990444 4166493 4569702 5320592 5555324 6092936 7980888 8332986 9139404 11110648 12185872 15961776 16665972 18278808 22221296 23610127 33331944 36557616 47220254 66663888 70830381 94440508 141660762 188881016 283321524 377762032 566643048 1133286096