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274080 = 2535571
BaseRepresentation
bin1000010111010100000
3111220222010
41002322200
532232310
65512520
72221032
oct1027240
9456863
10274080
11177a14
12112740
13979a1
1471c52
1556320
hex42ea0

274080 has 48 divisors (see below), whose sum is σ = 864864. Its totient is φ = 72960.

The previous prime is 274069. The next prime is 274081. The reversal of 274080 is 80472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274080.

It is not an unprimeable number, because it can be changed into a prime (274081) by changing a digit.

274080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2274080 is an apocalyptic number.

274080 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 274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432432).

274080 is an abundant number, since it is smaller than the sum of its proper divisors (590784).

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

274080 is a wasteful number, since it uses less digits than its factorization.

274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

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

The square root of 274080 is about 523.5265036271. The cubic root of 274080 is about 64.9569734974.

The spelling of 274080 in words is "two hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 571 1142 1713 2284 2855 3426 4568 5710 6852 8565 9136 11420 13704 17130 18272 22840 27408 34260 45680 54816 68520 91360 137040 274080