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13755390 = 2351173571
BaseRepresentation
bin110100011110…
…001111111110
3221212211211220
4310132033332
512010133030
61210454210
7224630115
oct64361776
927784756
1013755390
1178456a0
124734366
132b07cac
141b80c7c
15131aa10
hexd1e3fe

13755390 has 64 divisors (see below), whose sum is σ = 36571392. Its totient is φ = 3283200.

The previous prime is 13755389. The next prime is 13755419. The reversal of 13755390 is 9355731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23805 + ... + 24375.

It is an arithmetic number, because the mean of its divisors is an integer number (571428).

Almost surely, 213755390 is an apocalyptic number.

13755390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13755390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18285696).

13755390 is an abundant number, since it is smaller than the sum of its proper divisors (22816002).

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

13755390 is a wasteful number, since it uses less digits than its factorization.

13755390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665.

The product of its (nonzero) digits is 14175, while the sum is 33.

The square root of 13755390 is about 3708.8259597884. The cubic root of 13755390 is about 239.6022927067.

It can be divided in two parts, 13755 and 390, that multiplied together give a triangular number (5364450 = T3275).

The spelling of 13755390 in words is "thirteen million, seven hundred fifty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 571 730 803 1095 1142 1606 1713 2190 2409 2855 3426 4015 4818 5710 6281 8030 8565 12045 12562 17130 18843 24090 31405 37686 41683 62810 83366 94215 125049 188430 208415 250098 416830 458513 625245 917026 1250490 1375539 2292565 2751078 4585130 6877695 13755390