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13754790 = 2325723119
BaseRepresentation
bin110100011110…
…000110100110
3221212211000200
4310132012212
512010123130
61210451330
7224625300
oct64360646
927784020
1013754790
1178451a5
124733b46
132b0793a
141b80970
15131a760
hexd1e1a6

13754790 has 72 divisors (see below), whose sum is σ = 41614560. Its totient is φ = 3142944.

The previous prime is 13754789. The next prime is 13754791. The reversal of 13754790 is 9745731.

It is a happy number.

13754790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13754789) and next prime (13754791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13754791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2851 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (577980).

It is a vampire number, since it can be written as 14709357 (with its own digits).

Almost surely, 213754790 is an apocalyptic number.

13754790 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 13754790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807280).

13754790 is an abundant number, since it is smaller than the sum of its proper divisors (27859770).

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

13754790 is a wasteful number, since it uses less digits than its factorization.

13754790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13754790 is about 3708.7450707753. The cubic root of 13754790 is about 239.5988088974.

The spelling of 13754790 in words is "thirteen million, seven hundred fifty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3119 4410 6238 9357 15595 18714 21833 28071 31190 43666 46785 56142 65499 93570 109165 130998 140355 152831 196497 218330 280710 305662 327495 392994 458493 654990 764155 916986 982485 1375479 1528310 1964970 2292465 2750958 4584930 6877395 13754790