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10102036 = 227337199
BaseRepresentation
bin100110100010…
…010100010100
3201000020101111
4212202110110
510041231121
61000304404
7151603000
oct46422424
921006344
1010102036
11577a89a
123472104
132129149
1414ad700
15d482e1
hex9a2514

10102036 has 48 divisors (see below), whose sum is σ = 21280000. Its totient is φ = 4191264.

The previous prime is 10102019. The next prime is 10102049. The reversal of 10102036 is 63020101.

10102036 = T293 + T294 + ... + T440.

It is a super-2 number, since 2×101020362 = 204102262690592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50665 + ... + 50863.

Almost surely, 210102036 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 10102036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10640000).

10102036 is an abundant number, since it is smaller than the sum of its proper divisors (11177964).

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

10102036 is a wasteful number, since it uses less digits than its factorization.

10102036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10102036 is about 3178.3700225115. The cubic root of 10102036 is about 216.1737570777.

Adding to 10102036 its reverse (63020101), we get a palindrome (73122137).

The spelling of 10102036 in words is "ten million, one hundred two thousand, thirty-six".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 199 259 343 398 518 686 796 1036 1372 1393 1813 2786 3626 5572 7252 7363 9751 12691 14726 19502 25382 29452 39004 50764 51541 68257 103082 136514 206164 273028 360787 721574 1443148 2525509 5051018 10102036