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10907040 = 253531733
BaseRepresentation
bin101001100110…
…110110100000
3202112010122110
4221212312200
510243011130
61025435320
7161464644
oct51466640
922463573
1010907040
11617a691
12379bb40
13234b691
14163cc24
15e56ab0
hexa66da0

10907040 has 96 divisors (see below), whose sum is σ = 35513856. Its totient is φ = 2810880.

The previous prime is 10907027. The next prime is 10907051. The reversal of 10907040 is 4070901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10906998 and 10907016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14514 + ... + 15246.

It is an arithmetic number, because the mean of its divisors is an integer number (369936).

Almost surely, 210907040 is an apocalyptic number.

10907040 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 10907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756928).

10907040 is an abundant number, since it is smaller than the sum of its proper divisors (24606816).

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

10907040 is a wasteful number, since it uses less digits than its factorization.

10907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10907040 is about 3302.5808090038. The cubic root of 10907040 is about 221.7697474732.

Adding to 10907040 its reverse (4070901), we get a palindrome (14977941).

The spelling of 10907040 in words is "ten million, nine hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 733 744 930 992 1240 1466 1488 1860 2199 2480 2932 2976 3665 3720 4398 4960 5864 7330 7440 8796 10995 11728 14660 14880 17592 21990 22723 23456 29320 35184 43980 45446 58640 68169 70368 87960 90892 113615 117280 136338 175920 181784 227230 272676 340845 351840 363568 454460 545352 681690 727136 908920 1090704 1363380 1817840 2181408 2726760 3635680 5453520 10907040