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11309900 = 22527107151
BaseRepresentation
bin101011001001…
…001101001100
3210021121021012
4223021031030
510343404100
61042224352
7165063320
oct53111514
923247235
1011309900
116425328
1239550b8
13245cb64
141705980
15ed6135
hexac934c

11309900 has 72 divisors (see below), whose sum is σ = 28498176. Its totient is φ = 3816000.

The previous prime is 11309899. The next prime is 11309911. The reversal of 11309900 is 990311.

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 23 ways as a sum of consecutive naturals, for example, 74825 + ... + 74975.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 211309900 is an apocalyptic number.

11309900 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 11309900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249088).

11309900 is an abundant number, since it is smaller than the sum of its proper divisors (17188276).

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

11309900 is a wasteful number, since it uses less digits than its factorization.

11309900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 11309900 is about 3363.0194766013. The cubic root of 11309900 is about 224.4672167711.

The spelling of 11309900 in words is "eleven million, three hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 151 175 214 302 350 428 535 604 700 749 755 1057 1070 1498 1510 2114 2140 2675 2996 3020 3745 3775 4228 5285 5350 7490 7550 10570 10700 14980 15100 16157 18725 21140 26425 32314 37450 52850 64628 74900 80785 105700 113099 161570 226198 323140 403925 452396 565495 807850 1130990 1615700 2261980 2827475 5654950 11309900