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10426724 = 2271197349
BaseRepresentation
bin100111110001…
…100101100100
3201121201202222
4213301211210
510132123344
61011251512
7154424420
oct47614544
921551688
1010426724
115981830
1235a9b98
132210b79
141555b80
15dae5ee
hex9f1964

10426724 has 48 divisors (see below), whose sum is σ = 23049600. Its totient is φ = 4008960.

The previous prime is 10426723. The next prime is 10426733. The reversal of 10426724 is 42762401.

10426724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10426693 and 10426702.

It is not an unprimeable number, because it can be changed into a prime (10426723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29702 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (480200).

Almost surely, 210426724 is an apocalyptic number.

10426724 is a gapful number since it is divisible by the number (14) 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 10426724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524800).

10426724 is an abundant number, since it is smaller than the sum of its proper divisors (12622876).

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

10426724 is a wasteful number, since it uses less digits than its factorization.

10426724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 10426724 is about 3229.0438213192. The cubic root of 10426724 is about 218.4653806948.

The spelling of 10426724 in words is "ten million, four hundred twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 154 194 308 349 388 679 698 1067 1358 1396 2134 2443 2716 3839 4268 4886 7469 7678 9772 14938 15356 26873 29876 33853 53746 67706 107492 135412 236971 372383 473942 744766 947884 1489532 2606681 5213362 10426724