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10313040 = 243597443
BaseRepresentation
bin100111010101…
…110101010000
3201101221211110
4213111311100
510120004130
61005013320
7153442113
oct47256520
921357743
1010313040
115904381
123554240
1321a11ba
14152657a
15d8aab0
hex9d5d50

10313040 has 80 divisors (see below), whose sum is σ = 32372928. Its totient is φ = 2715648.

The previous prime is 10313021. The next prime is 10313057. The reversal of 10313040 is 4031301.

10313040 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 Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23059 + ... + 23501.

Almost surely, 210313040 is an apocalyptic number.

10313040 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 10313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186464).

10313040 is an abundant number, since it is smaller than the sum of its proper divisors (22059888).

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

10313040 is a wasteful number, since it uses less digits than its factorization.

10313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10313040 is about 3211.3922214516. The cubic root of 10313040 is about 217.6684914513.

Adding to 10313040 its reverse (4031301), we get a palindrome (14344341).

The spelling of 10313040 in words is "ten million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 443 485 582 776 886 970 1164 1329 1455 1552 1772 1940 2215 2328 2658 2910 3544 3880 4430 4656 5316 5820 6645 7088 7760 8860 10632 11640 13290 17720 21264 23280 26580 35440 42971 53160 85942 106320 128913 171884 214855 257826 343768 429710 515652 644565 687536 859420 1031304 1289130 1718840 2062608 2578260 3437680 5156520 10313040