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10461040 = 245433041
BaseRepresentation
bin100111111001…
…111101110000
3201200110211221
4213321331300
510134223130
61012114424
7154626442
oct47717560
921613757
1010461040
1159a5597
123605a14
132223685
141564492
15db987a
hex9f9f70

10461040 has 40 divisors (see below), whose sum is σ = 24895728. Its totient is φ = 4085760.

The previous prime is 10461037. The next prime is 10461041. The reversal of 10461040 is 4016401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1920 + ... + 4960.

Almost surely, 210461040 is an apocalyptic number.

10461040 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 10461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447864).

10461040 is an abundant number, since it is smaller than the sum of its proper divisors (14434688).

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

10461040 is a wasteful number, since it uses less digits than its factorization.

10461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10461040 is about 3234.3531037906. The cubic root of 10461040 is about 218.7047863016.

Adding to 10461040 its reverse (4016401), we get a palindrome (14477441).

The spelling of 10461040 in words is "ten million, four hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3041 3440 6082 12164 15205 24328 30410 48656 60820 121640 130763 243280 261526 523052 653815 1046104 1307630 2092208 2615260 5230520 10461040