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10136000 = 26537181
BaseRepresentation
bin100110101010…
…100111000000
3201001221222102
4212222213000
510043323000
61001125532
7152104010
oct46524700
921057872
1010136000
1157a3366
1234898a8
13213b744
1414bbc40
15d533d5
hex9aa9c0

10136000 has 112 divisors (see below), whose sum is σ = 28846272. Its totient is φ = 3456000.

The previous prime is 10135999. The next prime is 10136011. The reversal of 10136000 is 63101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55910 + ... + 56090.

It is an arithmetic number, because the mean of its divisors is an integer number (257556).

Almost surely, 210136000 is an apocalyptic number.

10136000 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 10136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423136).

10136000 is an abundant number, since it is smaller than the sum of its proper divisors (18710272).

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

10136000 is an equidigital number, since it uses as much as digits as its factorization.

10136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10136000 is about 3183.7085293726. The cubic root of 10136000 is about 216.4157516127.

Adding to 10136000 its reverse (63101), we get a palindrome (10199101).

The spelling of 10136000 in words is "ten million, one hundred thirty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 181 200 224 250 280 320 350 362 400 448 500 560 700 724 800 875 905 1000 1120 1267 1400 1448 1600 1750 1810 2000 2240 2534 2800 2896 3500 3620 4000 4525 5068 5600 5792 6335 7000 7240 8000 9050 10136 11200 11584 12670 14000 14480 18100 20272 22625 25340 28000 28960 31675 36200 40544 45250 50680 56000 57920 63350 72400 81088 90500 101360 126700 144800 158375 181000 202720 253400 289600 316750 362000 405440 506800 633500 724000 1013600 1267000 1448000 2027200 2534000 5068000 10136000