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10328248 = 2371719571
BaseRepresentation
bin100111011001…
…100010111000
3201102201200201
4213121202320
510121000443
61005211544
7153534340
oct47314270
921381621
1010328248
115914847
123560bb4
1321a80b8
14152bd20
15d9034d
hex9d98b8

10328248 has 64 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 3939840.

The previous prime is 10328243. The next prime is 10328257. The reversal of 10328248 is 84282301.

10328248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328243) 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, 17803 + ... + 18373.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 210328248 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 10328248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

10328248 is an abundant number, since it is smaller than the sum of its proper divisors (14382152).

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

10328248 is a wasteful number, since it uses less digits than its factorization.

10328248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 10328248 is about 3213.7591695707. The cubic root of 10328248 is about 217.7754329733.

The spelling of 10328248 in words is "ten million, three hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 571 646 952 1064 1142 1292 2261 2284 2584 3997 4522 4568 7994 9044 9707 10849 15988 18088 19414 21698 31976 38828 43396 67949 75943 77656 86792 135898 151886 184433 271796 303772 368866 543592 607544 737732 1291031 1475464 2582062 5164124 10328248