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1323997920 = 25335743783
BaseRepresentation
bin100111011101010…
…1001101011100000
310102021100001201000
41032322221223200
510202420413140
6335213512000
744544540150
oct11672515340
93367301630
101323997920
1161a3a9263
1230b4a2600
131813bb02b
14c7baa760
157b380a30
hex4eea9ae0

1323997920 has 192 divisors, whose sum is σ = 5296112640. Its totient is φ = 302621184.

The previous prime is 1323997903. The next prime is 1323997963. The reversal of 1323997920 is 297993231.

It is a happy number.

It is a super-3 number, since 3×13239979203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8349 + ... + 52131.

It is an arithmetic number, because the mean of its divisors is an integer number (27583920).

Almost surely, 21323997920 is an apocalyptic number.

1323997920 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 1323997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648056320).

1323997920 is an abundant number, since it is smaller than the sum of its proper divisors (3972114720).

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

1323997920 is a wasteful number, since it uses less digits than its factorization.

1323997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43814 (or 43800 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1323997920 is about 36386.7822155244. The cubic root of 1323997920 is about 1098.0676598397.

The spelling of 1323997920 in words is "one billion, three hundred twenty-three million, nine hundred ninety-seven thousand, nine hundred twenty".