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13003725 = 3527173147
BaseRepresentation
bin110001100110…
…101111001101
3220110122202110
4301212233031
511312104400
61142414233
7215346510
oct61465715
926418673
1013003725
117381989
124431379
132903b17
141a26d77
15121ce50
hexc66bcd

13003725 has 96 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 5299200.

The previous prime is 13003703. The next prime is 13003741. The reversal of 13003725 is 52730031.

13003725 = T155 + T156 + ... + T433.

It is a happy number.

It is not a de Polignac number, because 13003725 - 27 = 13003597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276652 + ... + 276698.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 213003725 is an apocalyptic number.

13003725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13003725 is an abundant number, since it is smaller than the sum of its proper divisors (14423091).

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

13003725 is a wasteful number, since it uses less digits than its factorization.

13003725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13003725 is about 3606.0678030231. The cubic root of 13003725 is about 235.1559248882.

Adding to 13003725 its reverse (52730031), we get a palindrome (65733756).

The spelling of 13003725 in words is "thirteen million, three thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 31 35 47 51 75 85 93 105 119 141 155 175 217 235 255 329 357 425 465 525 527 595 651 705 775 799 987 1085 1175 1275 1457 1581 1645 1785 2325 2397 2635 2975 3255 3525 3689 3995 4371 4935 5425 5593 7285 7905 8225 8925 10199 11067 11985 13175 16275 16779 18445 19975 21855 24675 24769 27965 30597 36425 39525 50995 55335 59925 74307 83895 92225 109275 123845 139825 152985 173383 254975 276675 371535 419475 520149 619225 764925 866915 1857675 2600745 4334575 13003725