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10440240 = 2435411061
BaseRepresentation
bin100111110100…
…111000110000
3201122102022120
4213310320300
510133041430
61011434240
7154512006
oct47647060
921572276
1010440240
1159909a8
1235b5980
132217075
14155aa76
15db3610
hex9f4e30

10440240 has 80 divisors (see below), whose sum is σ = 33185376. Its totient is φ = 2713600.

The previous prime is 10440239. The next prime is 10440247. The reversal of 10440240 is 4204401.

10440240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104402402 = 217997222515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10440247) 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, 9310 + ... + 10370.

Almost surely, 210440240 is an apocalyptic number.

10440240 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 10440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592688).

10440240 is an abundant number, since it is smaller than the sum of its proper divisors (22745136).

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

10440240 is a wasteful number, since it uses less digits than its factorization.

10440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10440240 is about 3231.1360231349. The cubic root of 10440240 is about 218.5597376927.

Adding to 10440240 its reverse (4204401), we get a palindrome (14644641).

The spelling of 10440240 in words is "ten million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1061 1230 1640 1968 2122 2460 3183 3280 4244 4920 5305 6366 8488 9840 10610 12732 15915 16976 21220 25464 31830 42440 43501 50928 63660 84880 87002 127320 130503 174004 217505 254640 261006 348008 435010 522012 652515 696016 870020 1044024 1305030 1740040 2088048 2610060 3480080 5220120 10440240