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1320423040 = 2754150321
BaseRepresentation
bin100111010110100…
…0000111010000000
310102000121102220001
41032231000322000
510201012014130
6335005125344
744502260566
oct11655007200
93360542801
101320423040
11618387412
1230a259854
13180738b11
14c7519a36
157adc66ca
hex4eb40e80

1320423040 has 64 divisors (see below), whose sum is σ = 3233691720. Its totient is φ = 515276800.

The previous prime is 1320423037. The next prime is 1320423043. The reversal of 1320423040 is 403240231.

It is an interprime number because it is at equal distance from previous prime (1320423037) and next prime (1320423043).

It can be written as a sum of positive squares in 4 ways, for example, as 846577216 + 473845824 = 29096^2 + 21768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1320422999 and 1320423017.

It is not an unprimeable number, because it can be changed into a prime (1320423043) 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, 1080 + ... + 51400.

Almost surely, 21320423040 is an apocalyptic number.

1320423040 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 1320423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616845860).

1320423040 is an abundant number, since it is smaller than the sum of its proper divisors (1913268680).

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

1320423040 is an equidigital number, since it uses as much as digits as its factorization.

1320423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50381 (or 50369 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1320423040 is about 36337.6256791772. The cubic root of 1320423040 is about 1097.0784844630.

Adding to 1320423040 its reverse (403240231), we get a palindrome (1723663271).

The spelling of 1320423040 in words is "one billion, three hundred twenty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 50321 100642 201284 251605 402568 503210 805136 1006420 1610272 2012840 2063161 3220544 4025680 4126322 6441088 8051360 8252644 10315805 16102720 16505288 20631610 32205440 33010576 41263220 66021152 82526440 132042304 165052880 264084608 330105760 660211520 1320423040