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10150938 = 2327217677
BaseRepresentation
bin100110101110…
…010000011010
3201002201110200
4212232100122
510044312223
61001323030
7152165400
oct46562032
921081420
1010150938
115803606
123496476
132145495
1414c3470
15d57a43
hex9ae41a

10150938 has 72 divisors (see below), whose sum is σ = 27129492. Its totient is φ = 2725632.

The previous prime is 10150937. The next prime is 10150951. The reversal of 10150938 is 83905101.

It can be written as a sum of positive squares in 2 ways, for example, as 7800849 + 2350089 = 2793^2 + 1533^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10150937) 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 35 ways as a sum of consecutive naturals, for example, 14656 + ... + 15332.

Almost surely, 210150938 is an apocalyptic number.

10150938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10150938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564746).

10150938 is an abundant number, since it is smaller than the sum of its proper divisors (16978554).

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

10150938 is a wasteful number, since it uses less digits than its factorization.

10150938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10150938 is about 3186.0536718643. The cubic root of 10150938 is about 216.5220141642.

It can be divided in two parts, 1015093 and 8, that added together give a palindrome (1015101).

The spelling of 10150938 in words is "ten million, one hundred fifty thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 677 714 833 882 1071 1354 1666 2031 2142 2499 4062 4739 4998 6093 7497 9478 11509 12186 14217 14994 23018 28434 33173 34527 42651 66346 69054 80563 85302 99519 103581 161126 199038 207162 241689 298557 483378 563941 597114 725067 1127882 1450134 1691823 3383646 5075469 10150938