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10540040 = 235737643
BaseRepresentation
bin101000001101…
…010000001000
3201211111012212
4220031100020
510144240130
61013524252
7155405660
oct50152010
921744185
1010540040
115a49985
123643688
132250614
1415851a0
15dd2e95
hexa0d408

10540040 has 32 divisors (see below), whose sum is σ = 27103680. Its totient is φ = 3613632.

The previous prime is 10540039. The next prime is 10540043. The reversal of 10540040 is 4004501.

It is a super-2 number, since 2×105400402 = 222184886403200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10539997 and 10540024.

It is not an unprimeable number, because it can be changed into a prime (10540043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18542 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (846990).

Almost surely, 210540040 is an apocalyptic number.

10540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540040 is an abundant number, since it is smaller than the sum of its proper divisors (16563640).

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

10540040 is a wasteful number, since it uses less digits than its factorization.

10540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37661 (or 37657 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 10540040 is about 3246.5427765548. The cubic root of 10540040 is about 219.2539467094.

Adding to 10540040 its reverse (4004501), we get a palindrome (14544541).

The spelling of 10540040 in words is "ten million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 37643 75286 150572 188215 263501 301144 376430 527002 752860 1054004 1317505 1505720 2108008 2635010 5270020 10540040