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11818980 = 2233543509
BaseRepresentation
bin101101000101…
…011111100100
3211020110121000
4231011133210
511011201410
61101153300
7202313445
oct55053744
924213530
1011818980
116742858
123b5b830
1325aa7a4
1417d92cc
151086dc0
hexb457e4

11818980 has 96 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 3072384.

The previous prime is 11818973. The next prime is 11818999. The reversal of 11818980 is 8981811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22966 + ... + 23474.

It is an arithmetic number, because the mean of its divisors is an integer number (392700).

Almost surely, 211818980 is an apocalyptic number.

11818980 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 11818980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

11818980 is an abundant number, since it is smaller than the sum of its proper divisors (25880220).

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

11818980 is a wasteful number, since it uses less digits than its factorization.

11818980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 11818980 is about 3437.8743432534. The cubic root of 11818980 is about 227.7858099267.

The spelling of 11818980 in words is "eleven million, eight hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 509 516 540 645 774 860 1018 1161 1290 1527 1548 1935 2036 2322 2545 2580 3054 3870 4581 4644 5090 5805 6108 7635 7740 9162 10180 11610 13743 15270 18324 21887 22905 23220 27486 30540 43774 45810 54972 65661 68715 87548 91620 109435 131322 137430 196983 218870 262644 274860 328305 393966 437740 590949 656610 787932 984915 1181898 1313220 1969830 2363796 2954745 3939660 5909490 11818980