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10130208 = 2531153181
BaseRepresentation
bin100110101001…
…001100100000
3201001200000220
4212221030200
510043131313
61001043040
7152051064
oct46511440
921050026
1010130208
115799a80
123486480
132138c0a
1414b9aa4
15d51823
hex9a9320

10130208 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 2995200.

The previous prime is 10130207. The next prime is 10130213. The reversal of 10130208 is 80203101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101302082 = 205242228246528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10130207) 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, 55878 + ... + 56058.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 210130208 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 10130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

10130208 is an abundant number, since it is smaller than the sum of its proper divisors (19589664).

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

10130208 is a wasteful number, since it uses less digits than its factorization.

10130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10130208 is about 3182.7987683798. The cubic root of 10130208 is about 216.3745217104.

Adding to 10130208 its reverse (80203101), we get a palindrome (90333309).

The spelling of 10130208 in words is "ten million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 181 212 264 318 352 362 424 528 543 583 636 724 848 1056 1086 1166 1272 1448 1696 1749 1991 2172 2332 2544 2896 3498 3982 4344 4664 5088 5792 5973 6996 7964 8688 9328 9593 11946 13992 15928 17376 18656 19186 23892 27984 28779 31856 38372 47784 55968 57558 63712 76744 95568 105523 115116 153488 191136 211046 230232 306976 316569 422092 460464 633138 844184 920928 1266276 1688368 2532552 3376736 5065104 10130208