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9948640 = 255134783
BaseRepresentation
bin100101111100…
…110111100000
3200201102222011
4211330313200
510021324030
6553122304
7150363532
oct45746740
920642864
109948640
115685619
1233b9394
1320a4390
14146d852
15d17b2a
hex97cde0

9948640 has 48 divisors (see below), whose sum is σ = 25316928. Its totient is φ = 3672576.

The previous prime is 9948637. The next prime is 9948643. The reversal of 9948640 is 468499.

It is an interprime number because it is at equal distance from previous prime (9948637) and next prime (9948643).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9948593 and 9948602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9948643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 4471.

It is an arithmetic number, because the mean of its divisors is an integer number (527436).

Almost surely, 29948640 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 9948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658464).

9948640 is an abundant number, since it is smaller than the sum of its proper divisors (15368288).

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

9948640 is a wasteful number, since it uses less digits than its factorization.

9948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 9948640 is about 3154.1464772582. The cubic root of 9948640 is about 215.0739965236.

The spelling of 9948640 in words is "nine million, nine hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 4783 9566 19132 23915 38264 47830 62179 76528 95660 124358 153056 191320 248716 310895 382640 497432 621790 765280 994864 1243580 1989728 2487160 4974320 9948640