Search a number
-
+
10298076 = 2231931247
BaseRepresentation
bin100111010010…
…001011011100
3201101012022020
4213102023130
510114014301
61004420140
7153350355
oct47221334
921335266
1010298076
1158a4108
123547650
132197449
141520d2c
15d86436
hex9d22dc

10298076 has 72 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 3080160.

The previous prime is 10298063. The next prime is 10298077. The reversal of 10298076 is 67089201.

10298076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10298077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219085 + ... + 219131.

It is an arithmetic number, because the mean of its divisors is an integer number (370720).

Almost surely, 210298076 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 10298076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345920).

10298076 is an abundant number, since it is smaller than the sum of its proper divisors (16393764).

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

10298076 is a wasteful number, since it uses less digits than its factorization.

10298076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10298076 is about 3209.0615450627. The cubic root of 10298076 is about 217.5631630532.

The spelling of 10298076 in words is "ten million, two hundred ninety-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 31 38 47 57 62 76 93 94 114 124 141 186 188 228 282 372 564 589 893 961 1178 1457 1767 1786 1922 2356 2679 2883 2914 3534 3572 3844 4371 5358 5766 5828 7068 8742 10716 11532 17484 18259 27683 36518 45167 54777 55366 73036 83049 90334 109554 110732 135501 166098 180668 219108 271002 332196 542004 858173 1716346 2574519 3432692 5149038 10298076