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10134000 = 243253563
BaseRepresentation
bin100110101010…
…000111110000
3201001212020100
4212222013300
510043242000
61001112400
7152065122
oct46520760
921055210
1010134000
1157a1908
123488700
13213a866
1414bb212
15d52a00
hex9aa1f0

10134000 has 120 divisors (see below), whose sum is σ = 35457552. Its totient is φ = 2697600.

The previous prime is 10133987. The next prime is 10134031. The reversal of 10134000 is 43101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17719 + ... + 18281.

Almost surely, 210134000 is an apocalyptic number.

10134000 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 10134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728776).

10134000 is an abundant number, since it is smaller than the sum of its proper divisors (25323552).

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

10134000 is a wasteful number, since it uses less digits than its factorization.

10134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10134000 is about 3183.3944147718. The cubic root of 10134000 is about 216.4015165438.

Adding to 10134000 its reverse (43101), we get a palindrome (10177101).

The spelling of 10134000 in words is "ten million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 563 600 720 750 900 1000 1125 1126 1200 1500 1689 1800 2000 2250 2252 2815 3000 3378 3600 4500 4504 5067 5630 6000 6756 8445 9000 9008 10134 11260 13512 14075 16890 18000 20268 22520 25335 27024 28150 33780 40536 42225 45040 50670 56300 67560 70375 81072 84450 101340 112600 126675 135120 140750 168900 202680 211125 225200 253350 281500 337800 405360 422250 506700 563000 633375 675600 844500 1013400 1126000 1266750 1689000 2026800 2533500 3378000 5067000 10134000