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10081400 = 2352719379
BaseRepresentation
bin100110011101…
…010001111000
3200222012002012
4212131101320
510040101100
61000025052
7151455560
oct46352170
920865065
1010081400
11576633a
123462188
13211c934
1414a5da0
15d42135
hex99d478

10081400 has 96 divisors (see below), whose sum is σ = 28272000. Its totient is φ = 3265920.

The previous prime is 10081399. The next prime is 10081403. The reversal of 10081400 is 418001.

It is a happy number.

10081400 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

10081400 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26411 + ... + 26789.

It is an arithmetic number, because the mean of its divisors is an integer number (294500).

Almost surely, 210081400 is an apocalyptic number.

10081400 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 10081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136000).

10081400 is an abundant number, since it is smaller than the sum of its proper divisors (18190600).

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

10081400 is a wasteful number, since it uses less digits than its factorization.

10081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10081400 is about 3175.1220448984. The cubic root of 10081400 is about 216.0264599501.

Adding to 10081400 its reverse (418001), we get a palindrome (10499401).

The spelling of 10081400 in words is "ten million, eighty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 379 380 475 532 665 700 758 760 950 1064 1330 1400 1516 1895 1900 2653 2660 3032 3325 3790 3800 5306 5320 6650 7201 7580 9475 10612 13265 13300 14402 15160 18950 21224 26530 26600 28804 36005 37900 50407 53060 57608 66325 72010 75800 100814 106120 132650 144020 180025 201628 252035 265300 288040 360050 403256 504070 530600 720100 1008140 1260175 1440200 2016280 2520350 5040700 10081400