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40986180 = 223251092089
BaseRepresentation
bin1001110001011…
…0011001000100
32212010022110200
42130112121010
540443024210
64022250500
71005243144
oct234263104
985108420
1040986180
1121154584
1211886a30
1386506a1
14562c924
1538e90c0
hex2716644

40986180 has 72 divisors (see below), whose sum is σ = 125525400. Its totient is φ = 10824192.

The previous prime is 40986157. The next prime is 40986199. The reversal of 40986180 is 8168904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14607684 + 26378496 = 3822^2 + 5136^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18576 + ... + 20664.

Almost surely, 240986180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40986180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62762700).

40986180 is an abundant number, since it is smaller than the sum of its proper divisors (84539220).

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

40986180 is a wasteful number, since it uses less digits than its factorization.

40986180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40986180 is about 6402.0449857838. The cubic root of 40986180 is about 344.7829763004.

The spelling of 40986180 in words is "forty million, nine hundred eighty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2089 2180 3270 3924 4178 4905 6267 6540 8356 9810 10445 12534 18801 19620 20890 25068 31335 37602 41780 62670 75204 94005 125340 188010 227701 376020 455402 683103 910804 1138505 1366206 2049309 2277010 2732412 3415515 4098618 4554020 6831030 8197236 10246545 13662060 20493090 40986180