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1321740420 = 22357111359373
BaseRepresentation
bin100111011001000…
…0010100010000100
310102010002100222220
41032302002202010
510201331143140
6335053252340
744516415420
oct11662024204
93363070886
101321740420
116190a7160
1230a7940b0
13180aaa630
14c777db80
157b086bd0
hex4ec82884

1321740420 has 384 divisors, whose sum is σ = 5066772480. Its totient is φ = 248555520.

The previous prime is 1321740419. The next prime is 1321740421. The reversal of 1321740420 is 240471231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1321740419) and next prime (1321740421).

It is not an unprimeable number, because it can be changed into a prime (1321740421) 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 127 ways as a sum of consecutive naturals, for example, 3543354 + ... + 3543726.

It is an arithmetic number, because the mean of its divisors is an integer number (13194720).

Almost surely, 21321740420 is an apocalyptic number.

1321740420 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 1321740420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533386240).

1321740420 is an abundant number, since it is smaller than the sum of its proper divisors (3745032060).

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

1321740420 is a wasteful number, since it uses less digits than its factorization.

1321740420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

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

The square root of 1321740420 is about 36355.7481012288. The cubic root of 1321740420 is about 1097.4432132482.

The spelling of 1321740420 in words is "one billion, three hundred twenty-one million, seven hundred forty thousand, four hundred twenty".