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11812980 = 2235475971
BaseRepresentation
bin101101000100…
…000001110100
3211020011100210
4231010001310
511011003410
61101105420
7202260114
oct55040164
924204323
1011812980
1167392a3
123b58270
1325a7b3a
1417d7044
151085220
hexb44074

11812980 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 2988160.

The previous prime is 11812963. The next prime is 11812981. The reversal of 11812980 is 8921811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166345 + ... + 166415.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 211812980 is an apocalyptic number.

11812980 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 11812980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11812980 is an abundant number, since it is smaller than the sum of its proper divisors (23023500).

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

11812980 is a wasteful number, since it uses less digits than its factorization.

11812980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11812980 is about 3437.0016002324. The cubic root of 11812980 is about 227.7472576377.

The spelling of 11812980 in words is "eleven million, eight hundred twelve thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 59 60 71 94 118 141 142 177 188 213 235 236 282 284 295 354 355 426 470 564 590 705 708 710 852 885 940 1065 1180 1410 1420 1770 2130 2773 2820 3337 3540 4189 4260 5546 6674 8319 8378 10011 11092 12567 13348 13865 16638 16685 16756 20022 20945 25134 27730 33276 33370 40044 41595 41890 50055 50268 55460 62835 66740 83190 83780 100110 125670 166380 196883 200220 251340 393766 590649 787532 984415 1181298 1968830 2362596 2953245 3937660 5906490 11812980