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10440252 = 223523467
BaseRepresentation
bin100111110100…
…111000111100
3201122102100000
4213310320330
510133042002
61011434300
7154512024
oct47647074
921572300
1010440252
115990a09
1235b5990
132217084
14155aa84
15db361c
hex9f4e3c

10440252 has 72 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3321648.

The previous prime is 10440247. The next prime is 10440259. The reversal of 10440252 is 25204401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22123 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 210440252 is an apocalyptic number.

10440252 is a gapful number since it is divisible by the number (12) 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 10440252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

10440252 is an abundant number, since it is smaller than the sum of its proper divisors (18178884).

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

10440252 is a wasteful number, since it uses less digits than its factorization.

10440252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10440252 is about 3231.1378800664. The cubic root of 10440252 is about 218.5598214301.

Adding to 10440252 its reverse (25204401), we get a palindrome (35644653).

The spelling of 10440252 in words is "ten million, four hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 467 486 621 828 934 972 1242 1401 1863 1868 2484 2802 3726 4203 5589 5604 7452 8406 10741 11178 12609 16812 21482 22356 25218 32223 37827 42964 50436 64446 75654 96669 113481 128892 151308 193338 226962 290007 386676 453924 580014 870021 1160028 1740042 2610063 3480084 5220126 10440252