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11490820 = 22511192749
BaseRepresentation
bin101011110101…
…011000000100
3210121210102221
4223311120010
510420201240
61050142124
7166445635
oct53653004
923553387
1011490820
116539250
123a21944
1324c4303
14175188c
15101ea4a
hexaf5604

11490820 has 48 divisors (see below), whose sum is σ = 27720000. Its totient is φ = 3957120.

The previous prime is 11490799. The next prime is 11490851. The reversal of 11490820 is 2809411.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2806 + ... + 5554.

It is an arithmetic number, because the mean of its divisors is an integer number (577500).

Almost surely, 211490820 is an apocalyptic number.

11490820 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 11490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860000).

11490820 is an abundant number, since it is smaller than the sum of its proper divisors (16229180).

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

11490820 is a wasteful number, since it uses less digits than its factorization.

11490820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11490820 is about 3389.8112041823. The cubic root of 11490820 is about 225.6577952037.

The spelling of 11490820 in words is "eleven million, four hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2749 4180 5498 10996 13745 27490 30239 52231 54980 60478 104462 120956 151195 208924 261155 302390 522310 574541 604780 1044620 1149082 2298164 2872705 5745410 11490820