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10014040 = 235793169
BaseRepresentation
bin100110001100…
…110101011000
3200211202200101
4212030311120
510030422130
6554345144
7151055311
oct46146530
920752611
1010014040
11571a773
12342b1b4
1320c808a
141489608
15d2c1ca
hex98cd58

10014040 has 32 divisors (see below), whose sum is σ = 22824000. Its totient is φ = 3953664.

The previous prime is 10014031. The next prime is 10014079. The reversal of 10014040 is 4041001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 4744.

It is an arithmetic number, because the mean of its divisors is an integer number (713250).

Almost surely, 210014040 is an apocalyptic number.

10014040 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 10014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412000).

10014040 is an abundant number, since it is smaller than the sum of its proper divisors (12809960).

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

10014040 is a wasteful number, since it uses less digits than its factorization.

10014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10014040 is about 3164.4968004408. The cubic root of 10014040 is about 215.5442493962.

Adding to 10014040 its reverse (4041001), we get a palindrome (14055041).

It can be divided in two parts, 1001 and 4040, that added together give a square (5041 = 712).

The spelling of 10014040 in words is "ten million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 3169 6338 12676 15845 25352 31690 63380 126760 250351 500702 1001404 1251755 2002808 2503510 5007020 10014040