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10081440 = 253257001
BaseRepresentation
bin100110011101…
…010010100000
3200222012010200
4212131102200
510040101230
61000025200
7151455645
oct46352240
920865120
1010081440
115766376
123462200
13211c965
1414a5dcc
15d42160
hex99d4a0

10081440 has 72 divisors (see below), whose sum is σ = 34407828. Its totient is φ = 2688000.

The previous prime is 10081439. The next prime is 10081447. The reversal of 10081440 is 4418001.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 121104 = 3156^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10081447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2061 + ... + 4940.

Almost surely, 210081440 is an apocalyptic number.

10081440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10081440 is an abundant number, since it is smaller than the sum of its proper divisors (24326388).

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

10081440 is a wasteful number, since it uses less digits than its factorization.

10081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10081440 is about 3175.1283438627. The cubic root of 10081440 is about 216.0267456593.

Adding to 10081440 its reverse (4418001), we get a palindrome (14499441).

The spelling of 10081440 in words is "ten million, eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7001 14002 21003 28004 35005 42006 56008 63009 70010 84012 105015 112016 126018 140020 168024 210030 224032 252036 280040 315045 336048 420060 504072 560080 630090 672096 840120 1008144 1120160 1260180 1680240 2016288 2520360 3360480 5040720 10081440