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110130048 = 2732721951
BaseRepresentation
bin1101001000001…
…11001110000000
321200020012000200
412210013032000
5211143130143
614532245200
72505042600
oct644071600
9250205020
10110130048
1157190376
1230a70800
1319a7c612
14108aac00
159a061d3
hex6907380

110130048 has 144 divisors (see below), whose sum is σ = 368840160. Its totient is φ = 31449600.

The previous prime is 110130047. The next prime is 110130067. The reversal of 110130048 is 840031011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 110130048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55473 + ... + 57423.

It is an arithmetic number, because the mean of its divisors is an integer number (2561390).

Almost surely, 2110130048 is an apocalyptic number.

110130048 is a gapful number since it is divisible by the number (18) 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 110130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184420080).

110130048 is an abundant number, since it is smaller than the sum of its proper divisors (258710112).

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

110130048 is a wasteful number, since it uses less digits than its factorization.

110130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110130048 is about 10494.2864454902. The cubic root of 110130048 is about 479.3307339398.

Adding to 110130048 its reverse (840031011), we get a palindrome (950161059).

The spelling of 110130048 in words is "one hundred ten million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 1951 2016 2352 2688 3136 3528 3902 4032 4704 5853 6272 7056 7804 8064 9408 11706 13657 14112 15608 17559 18816 23412 27314 28224 31216 35118 40971 46824 54628 56448 62432 70236 81942 93648 95599 109256 122913 124864 140472 163884 187296 191198 218512 245826 249728 280944 286797 327768 374592 382396 437024 491652 561888 573594 655536 749184 764792 860391 874048 983304 1123776 1147188 1311072 1529584 1720782 1748096 1966608 2247552 2294376 2622144 3059168 3441564 3933216 4588752 5244288 6118336 6883128 7866432 9177504 12236672 13766256 15732864 18355008 27532512 36710016 55065024 110130048