Search a number
-
+
13748440 = 2354771103
BaseRepresentation
bin110100011100…
…100011011000
3221212111022111
4310130203120
512004422230
61210402104
7224600626
oct64344330
927774274
1013748440
117840452
124730334
132b04a94
141b7c516
15131892a
hexd1c8d8

13748440 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 5255040.

The previous prime is 13748437. The next prime is 13748443. The reversal of 13748440 is 4484731.

It is an interprime number because it is at equal distance from previous prime (13748437) and next prime (13748443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748443) 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 15 ways as a sum of consecutive naturals, for example, 133429 + ... + 133531.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 213748440 is an apocalyptic number.

13748440 is a gapful number since it is divisible by the number (10) 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 13748440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

13748440 is an abundant number, since it is smaller than the sum of its proper divisors (18599720).

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

13748440 is a wasteful number, since it uses less digits than its factorization.

13748440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 13748440 is about 3707.8888872241. Note that the first 5 decimals coincide. The cubic root of 13748440 is about 239.5619323711.

The spelling of 13748440 in words is "thirteen million, seven hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 71 94 103 142 188 206 235 284 355 376 412 470 515 568 710 824 940 1030 1420 1880 2060 2840 3337 4120 4841 6674 7313 9682 13348 14626 16685 19364 24205 26696 29252 33370 36565 38728 48410 58504 66740 73130 96820 133480 146260 193640 292520 343711 687422 1374844 1718555 2749688 3437110 6874220 13748440