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2730480 = 243531367
BaseRepresentation
bin1010011010100111110000
312010201111220
422122213300
51144333410
6134305040
732131404
oct12324760
95121456
102730480
1115a54a5
12ab8180
13747a8c
14511104
1538e070
hex29a9f0

2730480 has 80 divisors (see below), whose sum is σ = 8761344. Its totient is φ = 702720.

The previous prime is 2730443. The next prime is 2730487. The reversal of 2730480 is 840372.

2730480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2730480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7257 + ... + 7623.

22730480 is an apocalyptic number.

2730480 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 2730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380672).

2730480 is an abundant number, since it is smaller than the sum of its proper divisors (6030864).

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

2730480 is a wasteful number, since it uses less digits than its factorization.

2730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2730480 is about 1652.4164124094. The cubic root of 2730480 is about 139.7696893565.

The spelling of 2730480 in words is "two million, seven hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 367 372 465 496 620 734 744 930 1101 1240 1468 1488 1835 1860 2202 2480 2936 3670 3720 4404 5505 5872 7340 7440 8808 11010 11377 14680 17616 22020 22754 29360 34131 44040 45508 56885 68262 88080 91016 113770 136524 170655 182032 227540 273048 341310 455080 546096 682620 910160 1365240 2730480