Search a number
-
+
11207040 = 273513449
BaseRepresentation
bin101010110000…
…000110000000
3210002101011120
4222300012000
510332111130
61040112240
7164154405
oct52600600
923071146
1011207040
116365019
123905680
1324250b0
1416ba2ac
15eb5910
hexab0180

11207040 has 128 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 2752512.

The previous prime is 11207039. The next prime is 11207051. The reversal of 11207040 is 4070211.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24736 + ... + 25184.

Almost surely, 211207040 is an apocalyptic number.

11207040 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 11207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

11207040 is an abundant number, since it is smaller than the sum of its proper divisors (27348960).

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

11207040 is a wasteful number, since it uses less digits than its factorization.

11207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11207040 is about 3347.6917420814. The cubic root of 11207040 is about 223.7846569913.

Adding to 11207040 its reverse (4070211), we get a palindrome (15277251).

The spelling of 11207040 in words is "eleven million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 449 480 520 624 640 780 832 898 960 1040 1248 1347 1560 1664 1796 1920 2080 2245 2496 2694 3120 3592 4160 4490 4992 5388 5837 6240 6735 7184 8320 8980 10776 11674 12480 13470 14368 17511 17960 21552 23348 24960 26940 28736 29185 35022 35920 43104 46696 53880 57472 58370 70044 71840 86208 87555 93392 107760 116740 140088 143680 172416 175110 186784 215520 233480 280176 287360 350220 373568 431040 466960 560352 700440 747136 862080 933920 1120704 1400880 1867840 2241408 2801760 3735680 5603520 11207040