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201124980 = 223257159623
BaseRepresentation
bin10111111110011…
…10110001110100
3112000110012121100
423333032301310
5402441444410
631542450100
74661351130
oct1377166164
9460405540
10201124980
11a35911a1
1257433930
133288c384
141c9d63c0
15129cc8c0
hexbfcec74

201124980 has 72 divisors (see below), whose sum is σ = 697237632. Its totient is φ = 45971136.

The previous prime is 201124961. The next prime is 201124981. The reversal of 201124980 is 89421102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201124981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78552 + ... + 81071.

It is an arithmetic number, because the mean of its divisors is an integer number (9683856).

Almost surely, 2201124980 is an apocalyptic number.

201124980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201124980 is an abundant number, since it is smaller than the sum of its proper divisors (496112652).

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

201124980 is a wasteful number, since it uses less digits than its factorization.

201124980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159645 (or 159640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201124980 is about 14181.8538985564. The cubic root of 201124980 is about 585.8979853246.

The spelling of 201124980 in words is "two hundred one million, one hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 159623 319246 478869 638492 798115 957738 1117361 1436607 1596230 1915476 2234722 2394345 2873214 3192460 3352083 4469444 4788690 5586805 5746428 6704166 7183035 9577380 10056249 11173610 13408332 14366070 16760415 20112498 22347220 28732140 33520830 40224996 50281245 67041660 100562490 201124980