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10538136 = 23327229103
BaseRepresentation
bin101000001100…
…110010011000
3201211101121100
4220030302120
510144210021
61013511400
7155400300
oct50146230
921741540
1010538136
115a48504
123642560
13224c7ab
141584600
15dd2626
hexa0cc98

10538136 has 144 divisors (see below), whose sum is σ = 34678800. Its totient is φ = 2878848.

The previous prime is 10538131. The next prime is 10538153. The reversal of 10538136 is 63183501.

It is a super-2 number, since 2×105381362 = 222104620708992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10538131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102261 + ... + 102363.

It is an arithmetic number, because the mean of its divisors is an integer number (240825).

Almost surely, 210538136 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 10538136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339400).

10538136 is an abundant number, since it is smaller than the sum of its proper divisors (24140664).

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

10538136 is a wasteful number, since it uses less digits than its factorization.

10538136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10538136 is about 3246.2495283019. The cubic root of 10538136 is about 219.2407435763.

The spelling of 10538136 in words is "ten million, five hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 103 116 126 147 168 174 196 203 206 232 252 261 294 309 348 392 406 412 441 504 522 588 609 618 696 721 812 824 882 927 1044 1176 1218 1236 1421 1442 1624 1764 1827 1854 2088 2163 2436 2472 2842 2884 2987 3528 3654 3708 4263 4326 4872 5047 5684 5768 5974 6489 7308 7416 8526 8652 8961 10094 11368 11948 12789 12978 14616 15141 17052 17304 17922 20188 20909 23896 25578 25956 26883 30282 34104 35844 40376 41818 45423 51156 51912 53766 60564 62727 71688 83636 90846 102312 107532 121128 125454 146363 167272 181692 188181 215064 250908 292726 363384 376362 439089 501816 585452 752724 878178 1170904 1317267 1505448 1756356 2634534 3512712 5269068 10538136