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13521040 = 2451313001
BaseRepresentation
bin110011100101…
…000010010000
3221102221101021
4303211002100
511430133130
61201445224
7222632641
oct63450220
927387337
1013521040
1176a5615
124640814
132a55420
141b1d6c8
1512c137a
hexce5090

13521040 has 40 divisors (see below), whose sum is σ = 33857208. Its totient is φ = 4992000.

The previous prime is 13521031. The next prime is 13521043. The reversal of 13521040 is 4012531.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 12931216 = 768^2 + 3596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (16) 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 (16).

It is not an unprimeable number, because it can be changed into a prime (13521043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5461 + ... + 7540.

Almost surely, 213521040 is an apocalyptic number.

13521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13521040 is an abundant number, since it is smaller than the sum of its proper divisors (20336168).

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

13521040 is a wasteful number, since it uses less digits than its factorization.

13521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13521040 is about 3677.0966808067. The cubic root of 13521040 is about 238.2337932848.

Adding to 13521040 its reverse (4012531), we get a palindrome (17533571).

The spelling of 13521040 in words is "thirteen million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 13001 26002 52004 65005 104008 130010 169013 208016 260020 338026 520040 676052 845065 1040080 1352104 1690130 2704208 3380260 6760520 13521040