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13054272 = 263711883
BaseRepresentation
bin110001110011…
…000101000000
3220120020002120
4301303011000
511320214042
61143444240
7215650050
oct61630500
926506076
1013054272
117406960
124456680
132920b2a
141a3b560
15122cdec
hexc73140

13054272 has 112 divisors (see below), whose sum is σ = 43110912. Its totient is φ = 3386880.

The previous prime is 13054267. The next prime is 13054313. The reversal of 13054272 is 27245031.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14343 + ... + 15225.

Almost surely, 213054272 is an apocalyptic number.

13054272 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 13054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555456).

13054272 is an abundant number, since it is smaller than the sum of its proper divisors (30056640).

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

13054272 is a wasteful number, since it uses less digits than its factorization.

13054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13054272 is about 3613.0696090720. The cubic root of 13054272 is about 235.4602238076.

The spelling of 13054272 in words is "thirteen million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 883 924 1056 1232 1344 1766 1848 2112 2464 2649 3532 3696 4928 5298 6181 7064 7392 9713 10596 12362 14128 14784 18543 19426 21192 24724 28256 29139 37086 38852 42384 49448 56512 58278 67991 74172 77704 84768 98896 116556 135982 148344 155408 169536 197792 203973 233112 271964 296688 310816 395584 407946 466224 543928 593376 621632 815892 932448 1087856 1186752 1631784 1864896 2175712 3263568 4351424 6527136 13054272