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10065136 = 2419113293
BaseRepresentation
bin100110011001…
…010011110000
3200221100202211
4212121103300
510034041021
6555421504
7151360264
oct46312360
920840684
1010065136
1157550a4
123454894
132115403
1414a00a4
15d3c3e1
hex9994f0

10065136 has 40 divisors (see below), whose sum is σ = 20779920. Its totient is φ = 4709376.

The previous prime is 10065119. The next prime is 10065137. The reversal of 10065136 is 63156001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10065137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34206 + ... + 34498.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 210065136 is an apocalyptic number.

10065136 is a gapful number since it is divisible by the number (16) 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 10065136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389960).

10065136 is an abundant number, since it is smaller than the sum of its proper divisors (10714784).

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

10065136 is a wasteful number, since it uses less digits than its factorization.

10065136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10065136 is about 3172.5598497113. The cubic root of 10065136 is about 215.9102278983.

It can be divided in two parts, 10065 and 136, that added together give a palindrome (10201).

The spelling of 10065136 in words is "ten million, sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 293 304 452 586 904 1172 1808 2147 2344 4294 4688 5567 8588 11134 17176 22268 33109 34352 44536 66218 89072 132436 264872 529744 629071 1258142 2516284 5032568 10065136