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10939240 = 23513109193
BaseRepresentation
bin101001101110…
…101101101000
3202120202211001
4221232231220
510300023430
61030244344
7161660554
oct51565550
922522731
1010939240
1161a18a4
1237b66b4
132360230
14164a864
15e613ca
hexa6eb68

10939240 has 64 divisors (see below), whose sum is σ = 26888400. Its totient is φ = 3981312.

The previous prime is 10939223. The next prime is 10939241. The reversal of 10939240 is 4293901.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2377764 + 8561476 = 1542^2 + 2926^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10939199 and 10939208.

It is not an unprimeable number, because it can be changed into a prime (10939241) 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, 56584 + ... + 56776.

Almost surely, 210939240 is an apocalyptic number.

10939240 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 10939240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444200).

10939240 is an abundant number, since it is smaller than the sum of its proper divisors (15949160).

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

10939240 is a wasteful number, since it uses less digits than its factorization.

10939240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10939240 is about 3307.4521916424. The cubic root of 10939240 is about 221.9877708817.

The spelling of 10939240 in words is "ten million, nine hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 193 218 260 386 436 520 545 772 872 965 1090 1417 1544 1930 2180 2509 2834 3860 4360 5018 5668 7085 7720 10036 11336 12545 14170 20072 21037 25090 28340 42074 50180 56680 84148 100360 105185 168296 210370 273481 420740 546962 841480 1093924 1367405 2187848 2734810 5469620 10939240