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121614528 = 2637412207
BaseRepresentation
bin1110011111110…
…11000011000000
322110211122202210
413033323003000
5222113131103
620022342120
73004464210
oct717730300
9273748683
10121614528
1162714882
123488a940
131c270a79
141221a240
15aa23e03
hex73fb0c0

121614528 has 112 divisors (see below), whose sum is σ = 376879104. Its totient is φ = 33884160.

The previous prime is 121614527. The next prime is 121614539. The reversal of 121614528 is 825416121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121614495 and 121614504.

It is not an unprimeable number, because it can be changed into a prime (121614527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54001 + ... + 56207.

It is an arithmetic number, because the mean of its divisors is an integer number (3364992).

Almost surely, 2121614528 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 121614528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188439552).

121614528 is an abundant number, since it is smaller than the sum of its proper divisors (255264576).

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

121614528 is a wasteful number, since it uses less digits than its factorization.

121614528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 121614528 is about 11027.8977144332. The cubic root of 121614528 is about 495.4446611470. Note that the first 3 decimals are identical.

The spelling of 121614528 in words is "one hundred twenty-one million, six hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2207 2296 2624 3444 3936 4414 4592 6621 6888 7872 8828 9184 13242 13776 15449 17656 18368 26484 27552 30898 35312 46347 52968 55104 61796 70624 90487 92694 105936 123592 141248 180974 185388 211872 247184 271461 361948 370776 423744 494368 542922 633409 723896 741552 988736 1085844 1266818 1447792 1483104 1900227 2171688 2533636 2895584 2966208 3800454 4343376 5067272 5791168 7600908 8686752 10134544 15201816 17373504 20269088 30403632 40538176 60807264 121614528