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10102248 = 23321343251
BaseRepresentation
bin100110100010…
…010111101000
3201000020200100
4212202113220
510041232443
61000305400
7151603422
oct46422750
921006610
1010102248
11577aa72
123472260
132129280
1414ad812
15d483d3
hex9a25e8

10102248 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3024000.

The previous prime is 10102207. The next prime is 10102289. The reversal of 10102248 is 84220101.

It is an interprime number because it is at equal distance from previous prime (10102207) and next prime (10102289).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10102248.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40123 + ... + 40373.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 210102248 is an apocalyptic number.

10102248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10102248 is an abundant number, since it is smaller than the sum of its proper divisors (20167992).

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

10102248 is a wasteful number, since it uses less digits than its factorization.

10102248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10102248 is about 3178.4033727644. The cubic root of 10102248 is about 216.1752692651.

Adding to 10102248 its reverse (84220101), we get a palindrome (94322349).

The spelling of 10102248 in words is "ten million, one hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 251 258 312 344 387 468 502 516 559 753 774 936 1004 1032 1118 1506 1548 1677 2008 2236 2259 3012 3096 3263 3354 4472 4518 5031 6024 6526 6708 9036 9789 10062 10793 13052 13416 18072 19578 20124 21586 26104 29367 32379 39156 40248 43172 58734 64758 78312 86344 97137 117468 129516 140309 194274 234936 259032 280618 388548 420927 561236 777096 841854 1122472 1262781 1683708 2525562 3367416 5051124 10102248