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11050320 = 2435411123
BaseRepresentation
bin101010001001…
…110101010000
3202210102012010
4222021311100
510312102240
61032502520
7162632451
oct52116520
922712163
1011050320
1162682a6
12384aa40
13239b968
141679128
15e84280
hexa89d50

11050320 has 80 divisors (see below), whose sum is σ = 35122752. Its totient is φ = 2872320.

The previous prime is 11050313. The next prime is 11050349. The reversal of 11050320 is 2305011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11050296 and 11050305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9279 + ... + 10401.

Almost surely, 211050320 is an apocalyptic number.

11050320 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 11050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561376).

11050320 is an abundant number, since it is smaller than the sum of its proper divisors (24072432).

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

11050320 is a wasteful number, since it uses less digits than its factorization.

11050320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11050320 is about 3324.2021599175. The cubic root of 11050320 is about 222.7366165227.

Adding to 11050320 its reverse (2305011), we get a palindrome (13355331).

The spelling of 11050320 in words is "eleven million, fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1123 1230 1640 1968 2246 2460 3280 3369 4492 4920 5615 6738 8984 9840 11230 13476 16845 17968 22460 26952 33690 44920 46043 53904 67380 89840 92086 134760 138129 184172 230215 269520 276258 368344 460430 552516 690645 736688 920860 1105032 1381290 1841720 2210064 2762580 3683440 5525160 11050320