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10949620 = 2251171701
BaseRepresentation
bin101001110001…
…001111110100
3202121022001111
4221301033310
510300341440
61030404404
7162033043
oct51611764
922538044
1010949620
1161a9680
123800704
132364b86
14165055a
15e644ea
hexa713f4

10949620 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 3920000.

The previous prime is 10949599. The next prime is 10949623. The reversal of 10949620 is 2694901.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949623) 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 15 ways as a sum of consecutive naturals, for example, 15270 + ... + 15970.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 210949620 is an apocalyptic number.

10949620 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 10949620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10949620 is an abundant number, since it is smaller than the sum of its proper divisors (14524556).

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

10949620 is a wasteful number, since it uses less digits than its factorization.

10949620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 10949620 is about 3309.0210032576. The cubic root of 10949620 is about 222.0579617613.

It can be divided in two parts, 109 and 49620, that added together give a square (49729 = 2232).

The spelling of 10949620 in words is "ten million, nine hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 701 710 781 1402 1420 1562 2804 3124 3505 3905 7010 7711 7810 14020 15422 15620 30844 38555 49771 77110 99542 154220 199084 248855 497710 547481 995420 1094962 2189924 2737405 5474810 10949620