Search a number
-
+
27085940 = 225731792
BaseRepresentation
bin110011101010…
…0110001110100
31212222002220222
41213110301310
523413222230
62404313512
7446140520
oct147246164
955862828
1027085940
1114320082
1290a2898
1357c47ab
143850d80
1525a06e5
hex19d4c74

27085940 has 72 divisors (see below), whose sum is σ = 67963392. Its totient is φ = 8873280.

The previous prime is 27085937. The next prime is 27085943. The reversal of 27085940 is 4958072.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27085937) and next prime (27085943).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 27085940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27085943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 342821 + ... + 342899.

It is an arithmetic number, because the mean of its divisors is an integer number (943936).

Almost surely, 227085940 is an apocalyptic number.

27085940 is a gapful number since it is divisible by the number (20) 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 27085940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33981696).

27085940 is an abundant number, since it is smaller than the sum of its proper divisors (40877452).

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

27085940 is a wasteful number, since it uses less digits than its factorization.

27085940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 27085940 is about 5204.4154330722. The cubic root of 27085940 is about 300.3179591838.

The spelling of 27085940 in words is "twenty-seven million, eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 79 124 140 155 158 217 310 316 395 434 553 620 790 868 1085 1106 1580 2170 2212 2449 2765 4340 4898 5530 6241 9796 11060 12245 12482 17143 24490 24964 31205 34286 43687 48980 62410 68572 85715 87374 124820 171430 174748 193471 218435 342860 386942 436870 773884 873740 967355 1354297 1934710 2708594 3869420 5417188 6771485 13542970 27085940