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10534000 = 245323229
BaseRepresentation
bin101000001011…
…110001110000
3201211011221011
4220023301300
510144042000
61013440304
7155352241
oct50136160
921734834
1010534000
115a45394
123640094
13224a949
141582cc8
15dd12ba
hexa0bc70

10534000 has 80 divisors (see below), whose sum is σ = 26694720. Its totient is φ = 4012800.

The previous prime is 10533979. The next prime is 10534003. The reversal of 10534000 is 43501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105340002 = 221930312000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45886 + ... + 46114.

It is an arithmetic number, because the mean of its divisors is an integer number (333684).

Almost surely, 210534000 is an apocalyptic number.

10534000 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 10534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347360).

10534000 is an abundant number, since it is smaller than the sum of its proper divisors (16160720).

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

10534000 is a wasteful number, since it uses less digits than its factorization.

10534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10534000 is about 3245.6124229489. The cubic root of 10534000 is about 219.2120573402.

Adding to 10534000 its reverse (43501), we get a palindrome (10577501).

The spelling of 10534000 in words is "ten million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 229 230 250 368 400 458 460 500 575 916 920 1000 1145 1150 1832 1840 2000 2290 2300 2875 3664 4580 4600 5267 5725 5750 9160 9200 10534 11450 11500 18320 21068 22900 23000 26335 28625 42136 45800 46000 52670 57250 84272 91600 105340 114500 131675 210680 229000 263350 421360 458000 526700 658375 1053400 1316750 2106800 2633500 5267000 10534000