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111992496 = 243711157193
BaseRepresentation
bin1101010110011…
…01111010110000
321210201210211020
412223031322300
5212132224441
615040215440
72526630510
oct653157260
9253653736
10111992496
1158242690
123160a580
131a282265
1410c33840
159c72e66
hex6acdeb0

111992496 has 160 divisors (see below), whose sum is σ = 364881408. Its totient is φ = 28753920.

The previous prime is 111992477. The next prime is 111992557. The reversal of 111992496 is 694299111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 580176 + ... + 580368.

Almost surely, 2111992496 is an apocalyptic number.

111992496 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 111992496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182440704).

111992496 is an abundant number, since it is smaller than the sum of its proper divisors (252888912).

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

111992496 is a wasteful number, since it uses less digits than its factorization.

111992496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 111992496 is about 10582.6507076441. The cubic root of 111992496 is about 482.0176872925.

It can be divided in two parts, 11199 and 2496, that added together give a triangular number (13695 = T165).

The spelling of 111992496 in words is "one hundred eleven million, nine hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 157 168 176 193 231 264 308 314 336 386 462 471 528 579 616 628 772 924 942 1099 1158 1232 1256 1351 1544 1727 1848 1884 2123 2198 2316 2512 2702 3088 3297 3454 3696 3768 4053 4246 4396 4632 5181 5404 6369 6594 6908 7536 8106 8492 8792 9264 10362 10808 12089 12738 13188 13816 14861 16212 16984 17584 20724 21616 24178 25476 26376 27632 29722 30301 32424 33968 36267 41448 44583 48356 50952 52752 59444 60602 64848 72534 82896 89166 90903 96712 101904 118888 121204 145068 178332 181806 193424 212107 237776 242408 290136 333311 356664 363612 424214 484816 580272 636321 666622 713328 727224 848428 999933 1272642 1333244 1454448 1696856 1999866 2333177 2545284 2666488 3393712 3999732 4666354 5090568 5332976 6999531 7999464 9332708 10181136 13999062 15998928 18665416 27998124 37330832 55996248 111992496