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1320530640 = 24351113109353
BaseRepresentation
bin100111010110101…
…1011001011010000
310102000210220111020
41032231123023100
510201023440030
6335011315440
744503216362
oct11655331320
93360726436
101320530640
11618450240
1230a2abb80
13180775aa0
14c7546d32
157ade8510
hex4eb5b2d0

1320530640 has 320 divisors, whose sum is σ = 4867188480. Its totient is φ = 291962880.

The previous prime is 1320530621. The next prime is 1320530657. The reversal of 1320530640 is 460350231.

It is a happy number.

1320530640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1320530640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3740704 + ... + 3741056.

It is an arithmetic number, because the mean of its divisors is an integer number (15209964).

Almost surely, 21320530640 is an apocalyptic number.

1320530640 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 1320530640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433594240).

1320530640 is an abundant number, since it is smaller than the sum of its proper divisors (3546657840).

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

1320530640 is a wasteful number, since it uses less digits than its factorization.

1320530640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1320530640 is about 36339.1062080509. The cubic root of 1320530640 is about 1097.1082836095.

Adding to 1320530640 its reverse (460350231), we get a palindrome (1780880871).

The spelling of 1320530640 in words is "one billion, three hundred twenty million, five hundred thirty thousand, six hundred forty".