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13453152 = 253433259
BaseRepresentation
bin110011010100…
…011101100000
3221022111020220
4303110131200
511421000102
61200203040
7222231006
oct63243540
927274226
1013453152
117659609
124609480
132a3055b
141b02a76
1512ab1bc
hexcd4760

13453152 has 48 divisors (see below), whose sum is σ = 36146880. Its totient is φ = 4378752.

The previous prime is 13453133. The next prime is 13453157. The reversal of 13453152 is 25135431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499 + ... + 5757.

It is an arithmetic number, because the mean of its divisors is an integer number (753060).

Almost surely, 213453152 is an apocalyptic number.

13453152 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 13453152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073440).

13453152 is an abundant number, since it is smaller than the sum of its proper divisors (22693728).

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

13453152 is a wasteful number, since it uses less digits than its factorization.

13453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 13453152 is about 3667.8538684086. The cubic root of 13453152 is about 237.8344068562.

Adding to 13453152 its reverse (25135431), we get a palindrome (38588583).

The spelling of 13453152 in words is "thirteen million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3259 4128 6518 9777 13036 19554 26072 39108 52144 78216 104288 140137 156432 280274 312864 420411 560548 840822 1121096 1681644 2242192 3363288 4484384 6726576 13453152