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116552128 = 2671167353
BaseRepresentation
bin1101111001001…
…11000111000000
322010022110110111
412330213013000
5214314132003
615322041104
72613451060
oct674470700
9263273414
10116552128
115a877380
1233049194
131b1ba774
141169d3a0
15a373e6d
hex6f271c0

116552128 has 112 divisors (see below), whose sum is σ = 293485824. Its totient is φ = 44605440.

The previous prime is 116552113. The next prime is 116552171. The reversal of 116552128 is 821255611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 116552128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330000 + ... + 330352.

Almost surely, 2116552128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146742912).

116552128 is an abundant number, since it is smaller than the sum of its proper divisors (176933696).

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

116552128 is a wasteful number, since it uses less digits than its factorization.

116552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its digits is 4800, while the sum is 31.

The square root of 116552128 is about 10795.9310853673. The cubic root of 116552128 is about 488.4724440182.

The spelling of 116552128 in words is "one hundred sixteen million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 112 134 154 176 224 268 308 352 353 448 469 536 616 704 706 737 938 1072 1232 1412 1474 1876 2144 2464 2471 2824 2948 3752 3883 4288 4928 4942 5159 5648 5896 7504 7766 9884 10318 11296 11792 15008 15532 19768 20636 22592 23584 23651 27181 30016 31064 39536 41272 47168 47302 54362 62128 79072 82544 94604 108724 124256 158144 165088 165557 189208 217448 248512 260161 330176 331114 378416 434896 520322 662228 756832 869792 1040644 1324456 1513664 1739584 1821127 2081288 2648912 3642254 4162576 5297824 7284508 8325152 10595648 14569016 16650304 29138032 58276064 116552128