Search a number
-
+
1480640 = 2657661
BaseRepresentation
bin101101001011111000000
32210020001112
411221133000
5334340030
651422452
715404510
oct5513700
92706045
101480640
11921477
125b4a28
133cac25
142a7840
151e3a95
hex1697c0

1480640 has 56 divisors (see below), whose sum is σ = 4035552. Its totient is φ = 506880.

The previous prime is 1480631. The next prime is 1480643. The reversal of 1480640 is 460841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1910 + ... + 2570.

21480640 is an apocalyptic number.

1480640 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 1480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017776).

1480640 is an abundant number, since it is smaller than the sum of its proper divisors (2554912).

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

1480640 is an equidigital number, since it uses as much as digits as its factorization.

1480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1480640 is about 1216.8155160089. The cubic root of 1480640 is about 113.9768086609.

The spelling of 1480640 in words is "one million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 661 1120 1322 2240 2644 3305 4627 5288 6610 9254 10576 13220 18508 21152 23135 26440 37016 42304 46270 52880 74032 92540 105760 148064 185080 211520 296128 370160 740320 1480640