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10361316 = 22372331173
BaseRepresentation
bin100111100001…
…100111100100
3201111102001110
4213201213210
510123030231
61010025020
7154032630
oct47414744
921442043
1010361316
115937679
123578170
1321ba174
141539dc0
15d9a046
hex9e19e4

10361316 has 96 divisors (see below), whose sum is σ = 29933568. Its totient is φ = 2724480.

The previous prime is 10361269. The next prime is 10361317. The reversal of 10361316 is 61316301.

10361316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103613163 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10361292 and 10361301.

It is not an unprimeable number, because it can be changed into a prime (10361317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59806 + ... + 59978.

It is an arithmetic number, because the mean of its divisors is an integer number (311808).

Almost surely, 210361316 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 10361316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966784).

10361316 is an abundant number, since it is smaller than the sum of its proper divisors (19572252).

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

10361316 is a wasteful number, since it uses less digits than its factorization.

10361316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10361316 is about 3218.8998120476. The cubic root of 10361316 is about 218.0076029108.

Adding to 10361316 its reverse (61316301), we get a palindrome (71677617).

The spelling of 10361316 in words is "ten million, three hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 173 186 217 276 322 346 372 434 483 519 644 651 692 713 868 966 1038 1211 1302 1426 1932 2076 2139 2422 2604 2852 3633 3979 4278 4844 4991 5363 7266 7958 8556 9982 10726 11937 14532 14973 15916 16089 19964 21452 23874 27853 29946 32178 37541 47748 55706 59892 64356 75082 83559 111412 112623 123349 150164 167118 225246 246698 334236 370047 450492 493396 740094 863443 1480188 1726886 2590329 3453772 5180658 10361316