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11818380 = 22357191481
BaseRepresentation
bin101101000101…
…010110001100
3211020102202210
4231011112030
511011142010
61101150420
7202311630
oct55052614
924212683
1011818380
116742362
123b5b410
1325aa432
1417d8dc0
151086b20
hexb4558c

11818380 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 2557440.

The previous prime is 11818337. The next prime is 11818393. The reversal of 11818380 is 8381811.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 7240 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 211818380 is an apocalyptic number.

11818380 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 11818380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

11818380 is an abundant number, since it is smaller than the sum of its proper divisors (28017780).

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

11818380 is a wasteful number, since it uses less digits than its factorization.

11818380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 11818380 is about 3437.7870789216. The cubic root of 11818380 is about 227.7819552851.

The spelling of 11818380 in words is "eleven million, eight hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1481 1596 1995 2660 2962 3990 4443 5924 7405 7980 8886 10367 14810 17772 20734 22215 28139 29620 31101 41468 44430 51835 56278 62202 84417 88860 103670 112556 124404 140695 155505 168834 196973 207340 281390 311010 337668 393946 422085 562780 590919 622020 787892 844170 984865 1181838 1688340 1969730 2363676 2954595 3939460 5909190 11818380