Search a number
-
+
10904040 = 2332574327
BaseRepresentation
bin101001100110…
…000111101000
3202111222112100
4221212013220
510242412130
61025413400
7161453130
oct51460750
922458470
1010904040
116178404
12379a260
13234a1c4
14163bac0
15e55c60
hexa661e8

10904040 has 96 divisors (see below), whose sum is σ = 40510080. Its totient is φ = 2491776.

The previous prime is 10904039. The next prime is 10904063. The reversal of 10904040 is 4040901.

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

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 23 ways as a sum of consecutive naturals, for example, 357 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (421980).

Almost surely, 210904040 is an apocalyptic number.

10904040 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 10904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255040).

10904040 is an abundant number, since it is smaller than the sum of its proper divisors (29606040).

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

10904040 is a wasteful number, since it uses less digits than its factorization.

10904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10904040 is about 3302.1265875190. The cubic root of 10904040 is about 221.7494128926.

Adding to 10904040 its reverse (4040901), we get a palindrome (14944941).

The spelling of 10904040 in words is "ten million, nine hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4327 8654 12981 17308 21635 25962 30289 34616 38943 43270 51924 60578 64905 77886 86540 90867 103848 121156 129810 151445 155772 173080 181734 194715 242312 259620 272601 302890 311544 363468 389430 454335 519240 545202 605780 726936 778860 908670 1090404 1211560 1363005 1557720 1817340 2180808 2726010 3634680 5452020 10904040