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10423248 = 24311191039
BaseRepresentation
bin100111110000…
…101111010000
3201121120000020
4213300233100
510132020443
61011223440
7154411323
oct47605720
921546006
1010423248
11597a160
1235a7b80
13220c404
1415547ba
15dad583
hex9f0bd0

10423248 has 80 divisors (see below), whose sum is σ = 30950400. Its totient is φ = 2989440.

The previous prime is 10423219. The next prime is 10423249. The reversal of 10423248 is 84232401.

10423248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423249) 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, 9513 + ... + 10551.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 210423248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10423248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475200).

10423248 is an abundant number, since it is smaller than the sum of its proper divisors (20527152).

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

10423248 is a wasteful number, since it uses less digits than its factorization.

10423248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 10423248 is about 3228.5055366222. The cubic root of 10423248 is about 218.4411010947.

Adding to 10423248 its reverse (84232401), we get a palindrome (94655649).

The spelling of 10423248 in words is "ten million, four hundred twenty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1039 1254 1672 2078 2508 3117 3344 4156 5016 6234 8312 10032 11429 12468 16624 19741 22858 24936 34287 39482 45716 49872 59223 68574 78964 91432 118446 137148 157928 182864 217151 236892 274296 315856 434302 473784 548592 651453 868604 947568 1302906 1737208 2605812 3474416 5211624 10423248