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13041504 = 253276469
BaseRepresentation
bin110001101111…
…111101100000
3220112120120200
4301233331200
511314312004
61143305200
7215564610
oct61577540
926476520
1013041504
1173a8303
12444b200
132918088
141a36a40
151229239
hexc6ff60

13041504 has 72 divisors (see below), whose sum is σ = 42391440. Its totient is φ = 3725568.

The previous prime is 13041487. The next prime is 13041521. The reversal of 13041504 is 40514031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13041487) and next prime (13041521).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219 + ... + 5250.

It is an arithmetic number, because the mean of its divisors is an integer number (588770).

Almost surely, 213041504 is an apocalyptic number.

13041504 is a gapful number since it is divisible by the number (14) 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 13041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195720).

13041504 is an abundant number, since it is smaller than the sum of its proper divisors (29349936).

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

13041504 is a wasteful number, since it uses less digits than its factorization.

13041504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13041504 is about 3611.3022581889. The cubic root of 13041504 is about 235.3834331904.

Adding to 13041504 its reverse (40514031), we get a palindrome (53555535).

The spelling of 13041504 in words is "thirteen million, forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 6469 12938 19407 25876 38814 45283 51752 58221 77628 90566 103504 116442 135849 155256 181132 207008 232884 271698 310512 362264 407547 465768 543396 621024 724528 815094 931536 1086792 1449056 1630188 1863072 2173584 3260376 4347168 6520752 13041504