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11049480 = 2333513787
BaseRepresentation
bin101010001001…
…101000001000
3202210101001000
4222021220020
510312040410
61032455000
7162630141
oct52115010
922711030
1011049480
116267702
12384a460
13239b470
141678ac8
15e83dc0
hexa89a08

11049480 has 128 divisors (see below), whose sum is σ = 39715200. Its totient is φ = 2716416.

The previous prime is 11049433. The next prime is 11049481. The reversal of 11049480 is 8494011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11049481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13647 + ... + 14433.

It is an arithmetic number, because the mean of its divisors is an integer number (310275).

Almost surely, 211049480 is an apocalyptic number.

11049480 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 11049480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857600).

11049480 is an abundant number, since it is smaller than the sum of its proper divisors (28665720).

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

11049480 is a wasteful number, since it uses less digits than its factorization.

11049480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11049480 is about 3324.0758114098. The cubic root of 11049480 is about 222.7309725383.

The spelling of 11049480 in words is "eleven million, forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 787 936 1080 1170 1404 1560 1574 1755 2340 2361 2808 3148 3510 3935 4680 4722 6296 7020 7083 7870 9444 10231 11805 14040 14166 15740 18888 20462 21249 23610 28332 30693 31480 35415 40924 42498 47220 51155 56664 61386 70830 81848 84996 92079 94440 102310 106245 122772 141660 153465 169992 184158 204620 212490 245544 276237 283320 306930 368316 409240 424980 460395 552474 613860 736632 849960 920790 1104948 1227720 1381185 1841580 2209896 2762370 3683160 5524740 11049480