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13075452 = 22331367139
BaseRepresentation
bin110001111000…
…001111111100
3220121022011000
4301320033330
511321403302
61144130300
7216065565
oct61701774
926538130
1013075452
117420865
124466990
13292a670
141a4516c
15123431c
hexc783fc

13075452 has 96 divisors (see below), whose sum is σ = 37318400. Its totient is φ = 3934656.

The previous prime is 13075441. The next prime is 13075453. The reversal of 13075452 is 25457031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13075453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93999 + ... + 94137.

Almost surely, 213075452 is an apocalyptic number.

13075452 is a gapful number since it is divisible by the number (12) 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 13075452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659200).

13075452 is an abundant number, since it is smaller than the sum of its proper divisors (24242948).

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

13075452 is a wasteful number, since it uses less digits than its factorization.

13075452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13075452 is about 3615.9994469026. Note that the first 3 decimals coincide. The cubic root of 13075452 is about 235.5874963939.

The spelling of 13075452 in words is "thirteen million, seventy-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 139 156 201 234 268 278 351 402 417 468 556 603 702 804 834 871 1206 1251 1404 1668 1742 1807 1809 2412 2502 2613 3484 3614 3618 3753 5004 5226 5421 7228 7236 7506 7839 9313 10452 10842 15012 15678 16263 18626 21684 23517 27939 31356 32526 37252 47034 48789 55878 65052 83817 94068 97578 111756 121069 167634 195156 242138 251451 335268 363207 484276 502902 726414 1005804 1089621 1452828 2179242 3268863 4358484 6537726 13075452