Search a number
-
+
27954780 = 22357101659
BaseRepresentation
bin110101010100…
…0111001011100
31221121020202020
41222220321130
524124023110
62435100140
7456416550
oct152507134
957536666
1027954780
1114863927
129441650
135a3a0b9
1439d9860
1526c2d70
hex1aa8e5c

27954780 has 96 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 6316800.

The previous prime is 27954769. The next prime is 27954791. The reversal of 27954780 is 8745972.

It is an interprime number because it is at equal distance from previous prime (27954769) and next prime (27954791).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42091 + ... + 42749.

It is an arithmetic number, because the mean of its divisors is an integer number (942480).

Almost surely, 227954780 is an apocalyptic number.

27954780 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 27954780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

27954780 is an abundant number, since it is smaller than the sum of its proper divisors (62523300).

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

27954780 is a wasteful number, since it uses less digits than its factorization.

27954780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 27954780 is about 5287.2280071886. The cubic root of 27954780 is about 303.4953394010.

The spelling of 27954780 in words is "twenty-seven million, nine hundred fifty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 659 707 1010 1212 1318 1414 1515 1977 2020 2121 2636 2828 3030 3295 3535 3954 4242 4613 6060 6590 7070 7908 8484 9226 9885 10605 13180 13839 14140 18452 19770 21210 23065 27678 39540 42420 46130 55356 66559 69195 92260 133118 138390 199677 266236 276780 332795 399354 465913 665590 798708 931826 998385 1331180 1397739 1863652 1996770 2329565 2795478 3993540 4659130 5590956 6988695 9318260 13977390 27954780