Search a number
-
+
13354040 = 2357371289
BaseRepresentation
bin110010111100…
…010000111000
3221010110022002
4302330100320
511404312130
61154120132
7221336030
oct62742070
927113262
1013354040
1175a10a7
124580048
1329c73cb
141ab88c0
15128bb45
hexcbc438

13354040 has 64 divisors (see below), whose sum is σ = 35294400. Its totient is φ = 4451328.

The previous prime is 13354031. The next prime is 13354057. The reversal of 13354040 is 4045331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 9716 + ... + 11004.

It is an arithmetic number, because the mean of its divisors is an integer number (551475).

Almost surely, 213354040 is an apocalyptic number.

13354040 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 13354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647200).

13354040 is an abundant number, since it is smaller than the sum of its proper divisors (21940360).

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

13354040 is a wasteful number, since it uses less digits than its factorization.

13354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13354040 is about 3654.3179938259. The cubic root of 13354040 is about 237.2489091494.

Adding to 13354040 its reverse (4045331), we get a palindrome (17399371).

The spelling of 13354040 in words is "thirteen million, three hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1289 1295 1480 2072 2578 2590 5156 5180 6445 9023 10312 10360 12890 18046 25780 36092 45115 47693 51560 72184 90230 95386 180460 190772 238465 333851 360920 381544 476930 667702 953860 1335404 1669255 1907720 2670808 3338510 6677020 13354040