Search a number
-
+
10423644 = 22371129389
BaseRepresentation
bin100111110000…
…110101011100
3201121120112220
4213300311130
510132024034
61011225340
7154412430
oct47606534
921546486
1010423644
11597a490
1235a8250
13220c64a
1415549c0
15dad749
hex9f0d5c

10423644 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2607360.

The previous prime is 10423643. The next prime is 10423649. The reversal of 10423644 is 44632401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423643) 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 31 ways as a sum of consecutive naturals, for example, 26602 + ... + 26990.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 210423644 is an apocalyptic number.

10423644 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 10423644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10423644 is an abundant number, since it is smaller than the sum of its proper divisors (21025956).

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

10423644 is a wasteful number, since it uses less digits than its factorization.

10423644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10423644 is about 3228.5668647250. The cubic root of 10423644 is about 218.4438673976.

The spelling of 10423644 in words is "ten million, four hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 389 406 462 609 638 778 812 924 957 1167 1218 1276 1556 1914 2233 2334 2436 2723 3828 4279 4466 4668 5446 6699 8169 8558 8932 10892 11281 12837 13398 16338 17116 22562 25674 26796 29953 32676 33843 45124 51348 59906 67686 78967 89859 119812 124091 135372 157934 179718 236901 248182 315868 359436 372273 473802 496364 744546 868637 947604 1489092 1737274 2605911 3474548 5211822 10423644