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1380480 = 2735719
BaseRepresentation
bin101010001000010000000
32121010122220
411101002000
5323133410
645331040
714506503
oct5210200
92533586
101380480
118631a2
12566a80
1339446a
1427d13a
151c4070
hex151080

1380480 has 64 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 367616.

The previous prime is 1380469. The next prime is 1380499. The reversal of 1380480 is 840831.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1380480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1561 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

21380480 is an apocalyptic number.

1380480 is a gapful number since it is divisible by the number (10) 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 1380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1380480 is an abundant number, since it is smaller than the sum of its proper divisors (3025920).

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

1380480 is an equidigital number, since it uses as much as digits as its factorization.

1380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1380480 is about 1174.9382962522. The cubic root of 1380480 is about 111.3465349025.

The spelling of 1380480 in words is "one million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 719 960 1438 1920 2157 2876 3595 4314 5752 7190 8628 10785 11504 14380 17256 21570 23008 28760 34512 43140 46016 57520 69024 86280 92032 115040 138048 172560 230080 276096 345120 460160 690240 1380480