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11490120 = 2333510639
BaseRepresentation
bin101011110101…
…001101001000
3210121202111000
4223311031020
510420140440
61050135000
7166443615
oct53651510
923552430
1011490120
116538774
123a21460
1324c3bb5
14175150c
15101e730
hexaf5348

11490120 has 64 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 3063744.

The previous prime is 11490107. The next prime is 11490121. The reversal of 11490120 is 2109411.

11490120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114901202 = 264045715228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11490093 and 11490102.

It is not an unprimeable number, because it can be changed into a prime (11490121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4240 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 211490120 is an apocalyptic number.

11490120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11490120 is an abundant number, since it is smaller than the sum of its proper divisors (26813880).

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

11490120 is a wasteful number, since it uses less digits than its factorization.

11490120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11490120 is about 3389.7079520218. The cubic root of 11490120 is about 225.6532128889.

Adding to 11490120 its reverse (2109411), we get a palindrome (13599531).

It can be divided in two parts, 114901 and 20, that added together give a square (114921 = 3392).

The spelling of 11490120 in words is "eleven million, four hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 10639 21278 31917 42556 53195 63834 85112 95751 106390 127668 159585 191502 212780 255336 287253 319170 383004 425560 478755 574506 638340 766008 957510 1149012 1276680 1436265 1915020 2298024 2872530 3830040 5745060 11490120