Search a number
-
+
10754814 = 2372157233
BaseRepresentation
bin101001000001…
…101011111110
3202020101211110
4221001223332
510223123224
61022302450
7160262100
oct51015376
922211743
1010754814
116086284
123727a26
1322c72c5
1415dd570
15e26929
hexa41afe

10754814 has 48 divisors (see below), whose sum is σ = 25288848. Its totient is φ = 3040128.

The previous prime is 10754803. The next prime is 10754819. The reversal of 10754814 is 41845701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10754819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46042 + ... + 46274.

It is an arithmetic number, because the mean of its divisors is an integer number (526851).

Almost surely, 210754814 is an apocalyptic number.

10754814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10754814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644424).

10754814 is an abundant number, since it is smaller than the sum of its proper divisors (14534034).

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

10754814 is a wasteful number, since it uses less digits than its factorization.

10754814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 10754814 is about 3279.4533080988. The cubic root of 10754814 is about 220.7331874226.

The spelling of 10754814 in words is "ten million, seven hundred fifty-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 233 294 314 466 471 699 942 1099 1398 1631 2198 3262 3297 4893 6594 7693 9786 11417 15386 22834 23079 34251 36581 46158 68502 73162 109743 219486 256067 512134 768201 1536402 1792469 3584938 5377407 10754814