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10000536 = 23371319241
BaseRepresentation
bin100110001001…
…100010011000
3200211002011020
4212021202120
510030004121
6554202440
7151001040
oct46114230
920732136
1010000536
115710607
123423420
1320c1ba0
141484720
15d281c6
hex989898

10000536 has 128 divisors (see below), whose sum is σ = 32524800. Its totient is φ = 2488320.

The previous prime is 10000511. The next prime is 10000537. The reversal of 10000536 is 63500001.

10000536 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

10000536 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000537) 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, 41376 + ... + 41616.

It is an arithmetic number, because the mean of its divisors is an integer number (254100).

Almost surely, 210000536 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 10000536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262400).

10000536 is an abundant number, since it is smaller than the sum of its proper divisors (22524264).

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

10000536 is a wasteful number, since it uses less digits than its factorization.

10000536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10000536 is about 3162.3624080741. The cubic root of 10000536 is about 215.4473181911.

Adding to 10000536 its reverse (63500001), we get a palindrome (73500537).

The spelling of 10000536 in words is "ten million, five hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 241 247 266 273 312 364 399 456 482 494 532 546 723 728 741 798 964 988 1064 1092 1446 1482 1596 1687 1729 1928 1976 2184 2892 2964 3133 3192 3374 3458 4579 5061 5187 5784 5928 6266 6748 6916 9158 9399 10122 10374 12532 13496 13737 13832 18316 18798 20244 20748 21931 25064 27474 32053 36632 37596 40488 41496 43862 54948 59527 64106 65793 75192 87724 96159 109896 119054 128212 131586 175448 178581 192318 238108 256424 263172 357162 384636 416689 476216 526344 714324 769272 833378 1250067 1428648 1666756 2500134 3333512 5000268 10000536