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11820690 = 2325729647
BaseRepresentation
bin101101000101…
…111010010010
3211020112221100
4231011322102
511011230230
61101205230
7202321440
oct55057222
924215840
1011820690
116744072
123b60816
1325ab4bb
1417d9b90
151087660
hexb45e92

11820690 has 96 divisors (see below), whose sum is σ = 36391680. Its totient is φ = 2604672.

The previous prime is 11820673. The next prime is 11820707. The reversal of 11820690 is 9602811.

11820690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11820673) and next prime (11820707).

It is a super-2 number, since 2×118206902 = 279457424152200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17947 + ... + 18593.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 211820690 is an apocalyptic number.

11820690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11820690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195840).

11820690 is an abundant number, since it is smaller than the sum of its proper divisors (24570990).

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

11820690 is a wasteful number, since it uses less digits than its factorization.

11820690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11820690 is about 3438.1230344477. The cubic root of 11820690 is about 227.7967949399.

The spelling of 11820690 in words is "eleven million, eight hundred twenty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 647 870 1015 1218 1294 1305 1827 1941 2030 2610 3045 3235 3654 3882 4529 5823 6090 6470 9058 9135 9705 11646 13587 18270 18763 19410 22645 27174 29115 37526 40761 45290 56289 58230 67935 81522 93815 112578 131341 135870 168867 187630 203805 262682 281445 337734 394023 407610 562890 656705 788046 844335 1182069 1313410 1688670 1970115 2364138 3940230 5910345 11820690