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10249720 = 2351323857
BaseRepresentation
bin100111000110…
…010111111000
3201021201222021
4213012113320
510110442340
61003404224
7153056365
oct47062770
921251867
1010249720
115870848
123523674
13217b430
14150b46c
15d76e4a
hex9c65f8

10249720 has 64 divisors (see below), whose sum is σ = 25945920. Its totient is φ = 3615744.

The previous prime is 10249717. The next prime is 10249739. The reversal of 10249720 is 2794201.

It is a congruent number.

It is an unprimeable number.

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, 11532 + ... + 12388.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 210249720 is an apocalyptic number.

10249720 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 10249720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960).

10249720 is an abundant number, since it is smaller than the sum of its proper divisors (15696200).

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

10249720 is a wasteful number, since it uses less digits than its factorization.

10249720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 10249720 is about 3201.5183897645. The cubic root of 10249720 is about 217.2220962951. Note that the first 3 decimals are identical.

The spelling of 10249720 in words is "ten million, two hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 857 920 1196 1495 1714 2392 2990 3428 4285 5980 6856 8570 11141 11960 17140 19711 22282 34280 39422 44564 55705 78844 89128 98555 111410 157688 197110 222820 256243 394220 445640 512486 788440 1024972 1281215 2049944 2562430 5124860 10249720