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11137104 = 2432117989
BaseRepresentation
bin101010011111…
…000001010000
3202221211020100
4222133001100
510322341404
61034412400
7163443456
oct52370120
922854210
1011137104
116317520
123891100
1323cc304
14169c9d6
15e9ed39
hexa9f050

11137104 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3294720.

The previous prime is 11137103. The next prime is 11137123. The reversal of 11137104 is 40173111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125092 + ... + 125180.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 211137104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11137104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11137104 is an abundant number, since it is smaller than the sum of its proper divisors (23682096).

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

11137104 is a wasteful number, since it uses less digits than its factorization.

11137104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11137104 is about 3337.2299890778. The cubic root of 11137104 is about 223.3181861463.

The spelling of 11137104 in words is "eleven million, one hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 89 99 132 144 158 176 178 198 237 264 267 316 356 396 474 528 534 632 711 712 792 801 869 948 979 1068 1264 1422 1424 1584 1602 1738 1896 1958 2136 2607 2844 2937 3204 3476 3792 3916 4272 5214 5688 5874 6408 6952 7031 7821 7832 8811 10428 11376 11748 12816 13904 14062 15642 15664 17622 20856 21093 23496 28124 31284 35244 41712 42186 46992 56248 62568 63279 70488 77341 84372 112496 125136 126558 140976 154682 168744 232023 253116 309364 337488 464046 506232 618728 696069 928092 1012464 1237456 1392138 1856184 2784276 3712368 5568552 11137104