[go: up one dir, main page]

Search a number
-
+
27241140 = 22351721571
BaseRepresentation
bin110011111101…
…0101010110100
31220020222211010
41213322222310
523433204030
62411512220
7450355143
oct147725264
956228733
1027241140
1114416743
129158670
13584a324
14389175a
1525d16b0
hex19faab4

27241140 has 72 divisors (see below), whose sum is σ = 81077472. Its totient is φ = 6832640.

The previous prime is 27241129. The next prime is 27241141. The reversal of 27241140 is 4114272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241141) 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, 16555 + ... + 18125.

It is an arithmetic number, because the mean of its divisors is an integer number (1126076).

Almost surely, 227241140 is an apocalyptic number.

27241140 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 27241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40538736).

27241140 is an abundant number, since it is smaller than the sum of its proper divisors (53836332).

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

27241140 is a wasteful number, since it uses less digits than its factorization.

27241140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 27241140 is about 5219.3045513746. The cubic root of 27241140 is about 300.8904654006.

The spelling of 27241140 in words is "twenty-seven million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1571 1734 2890 3142 3468 4335 4713 5780 6284 7855 8670 9426 15710 17340 18852 23565 26707 31420 47130 53414 80121 94260 106828 133535 160242 267070 320484 400605 454019 534140 801210 908038 1362057 1602420 1816076 2270095 2724114 4540190 5448228 6810285 9080380 13620570 27241140