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13754048 = 267112791
BaseRepresentation
bin110100011101…
…111011000000
3221212210000012
4310131323000
512010112143
61210444052
7224623160
oct64357300
927783005
1013754048
117844690
124733628
132b074b9
141b805a0
15131a418
hexd1dec0

13754048 has 56 divisors (see below), whose sum is σ = 34040064. Its totient is φ = 5356800.

The previous prime is 13754017. The next prime is 13754053. The reversal of 13754048 is 84045731.

13754048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3533 + ... + 6323.

Almost surely, 213754048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020032).

13754048 is an abundant number, since it is smaller than the sum of its proper divisors (20286016).

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

13754048 is a wasteful number, since it uses less digits than its factorization.

13754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 13754048 is about 3708.6450355891. The cubic root of 13754048 is about 239.5945004465.

Adding to 13754048 its reverse (84045731), we get a palindrome (97799779).

The spelling of 13754048 in words is "thirteen million, seven hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 2791 4928 5582 11164 19537 22328 30701 39074 44656 61402 78148 89312 122804 156296 178624 214907 245608 312592 429814 491216 625184 859628 982432 1250368 1719256 1964864 3438512 6877024 13754048