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9917072 = 241129267
BaseRepresentation
bin100101110101…
…001010010000
3200122211122222
4211311022100
510014321242
6552320212
7150202514
oct45651220
920584588
109917072
115663930
1233a3068
132092bb9
141462144
15d0d5d2
hex975290

9917072 has 60 divisors (see below), whose sum is σ = 22032816. Its totient is φ = 4287360.

The previous prime is 9917059. The next prime is 9917077. The reversal of 9917072 is 2707199.

It is not an unprimeable number, because it can be changed into a prime (9917077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147983 + ... + 148049.

Almost surely, 29917072 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 9917072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016408).

9917072 is an abundant number, since it is smaller than the sum of its proper divisors (12115744).

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

9917072 is a wasteful number, since it uses less digits than its factorization.

9917072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 35.

The square root of 9917072 is about 3149.1382948356. The cubic root of 9917072 is about 214.8462719365.

It can be divided in two parts, 99 and 17072, that added together give a palindrome (17171).

The spelling of 9917072 in words is "nine million, nine hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 67 88 116 134 176 232 268 319 464 536 638 737 841 1072 1276 1474 1682 1943 2552 2948 3364 3886 5104 5896 6728 7772 9251 11792 13456 15544 18502 21373 31088 37004 42746 56347 74008 85492 112694 148016 170984 225388 341968 450776 619817 901552 1239634 2479268 4958536 9917072