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9945740 = 2257193739
BaseRepresentation
bin100101111100…
…001010001100
3200201021222202
4211330022030
510021230430
6553101032
7150352220
oct45741214
920637882
109945740
115683422
1233b7778
1320a2c6c
14146c780
15d16d45
hex97c28c

9945740 has 48 divisors (see below), whose sum is σ = 25132800. Its totient is φ = 3229632.

The previous prime is 9945709. The next prime is 9945743. The reversal of 9945740 is 475499.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 97 + 97 + 4 + 5 + 76 + 49 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 9945694 and 9945703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (523600).

Almost surely, 29945740 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 9945740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566400).

9945740 is an abundant number, since it is smaller than the sum of its proper divisors (15187060).

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

9945740 is a wasteful number, since it uses less digits than its factorization.

9945740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 9945740 is about 3153.6867314304. The cubic root of 9945740 is about 215.0530966752.

The spelling of 9945740 in words is "nine million, nine hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3739 7478 14956 18695 26173 37390 52346 71041 74780 104692 130865 142082 261730 284164 355205 497287 523460 710410 994574 1420820 1989148 2486435 4972870 9945740