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11202380 = 225732371
BaseRepresentation
bin101010101110…
…111101001100
3210002010202222
4222232331030
510331434010
61040034512
7164135000
oct52567514
923063688
1011202380
116361572
123902a38
132422c37
1416b8700
15eb4355
hexaaef4c

11202380 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3622080.

The previous prime is 11202349. The next prime is 11202431. The reversal of 11202380 is 8320211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157745 + ... + 157815.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 211202380 is an apocalyptic number.

11202380 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 11202380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11202380 is an abundant number, since it is smaller than the sum of its proper divisors (17828020).

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

11202380 is a wasteful number, since it uses less digits than its factorization.

11202380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11202380 is about 3346.9956677594. The cubic root of 11202380 is about 223.7536353872.

Adding to 11202380 its reverse (8320211), we get a palindrome (19522591).

The spelling of 11202380 in words is "eleven million, two hundred two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 71 92 98 115 140 142 161 196 230 245 284 322 343 355 460 490 497 644 686 710 805 980 994 1127 1372 1420 1610 1633 1715 1988 2254 2485 3220 3266 3430 3479 4508 4970 5635 6532 6860 6958 7889 8165 9940 11270 11431 13916 15778 16330 17395 22540 22862 24353 31556 32660 34790 39445 45724 48706 57155 69580 78890 80017 97412 114310 121765 157780 160034 228620 243530 320068 400085 487060 560119 800170 1120238 1600340 2240476 2800595 5601190 11202380