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10134300 = 22352113783
BaseRepresentation
bin100110101010…
…001100011100
3201001212122110
4212222030130
510043244200
61001114020
7152066031
oct46521434
921055573
1010134300
1157a2060
123488910
13213aa37
1414bb388
15d52b50
hex9aa31c

10134300 has 144 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 2361600.

The previous prime is 10134287. The next prime is 10134307. The reversal of 10134300 is 343101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10134307) 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 47 ways as a sum of consecutive naturals, for example, 122059 + ... + 122141.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 210134300 is an apocalyptic number.

10134300 is a gapful number since it is divisible by the number (10) 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 10134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

10134300 is an abundant number, since it is smaller than the sum of its proper divisors (23113572).

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

10134300 is a wasteful number, since it uses less digits than its factorization.

10134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10134300 is about 3183.4415339378. The cubic root of 10134300 is about 216.4036519235.

Adding to 10134300 its reverse (343101), we get a palindrome (10477401).

The spelling of 10134300 in words is "ten million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 83 100 110 111 132 148 150 165 166 185 220 222 249 275 300 330 332 370 407 415 444 498 550 555 660 740 814 825 830 913 925 996 1100 1110 1221 1245 1628 1650 1660 1826 1850 2035 2075 2220 2442 2490 2739 2775 3071 3300 3652 3700 4070 4150 4565 4884 4980 5478 5550 6105 6142 6225 8140 8300 9130 9213 10175 10956 11100 12210 12284 12450 13695 15355 18260 18426 20350 22825 24420 24900 27390 30525 30710 33781 36852 40700 45650 46065 54780 61050 61420 67562 68475 76775 91300 92130 101343 122100 135124 136950 153550 168905 184260 202686 230325 273900 307100 337810 405372 460650 506715 675620 844525 921300 1013430 1689050 2026860 2533575 3378100 5067150 10134300