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1317301920 = 2533511191459
BaseRepresentation
bin100111010000100…
…0110111010100000
310101210201212112000
41032201012322200
510144212130140
6334414204000
744433611244
oct11641067240
93353655460
101317301920
11616645480
123091b3600
1317cbb52bc
14c6d46424
157a9aba30
hex4e846ea0

1317301920 has 384 divisors, whose sum is σ = 5298048000. Its totient is φ = 302330880.

The previous prime is 1317301919. The next prime is 1317301927. The reversal of 1317301920 is 291037131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1317301927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902151 + ... + 903609.

It is an arithmetic number, because the mean of its divisors is an integer number (13797000).

Almost surely, 21317301920 is an apocalyptic number.

1317301920 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 1317301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024000).

1317301920 is an abundant number, since it is smaller than the sum of its proper divisors (3980746080).

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

1317301920 is a wasteful number, since it uses less digits than its factorization.

1317301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1317301920 is about 36294.6541518169. The cubic root of 1317301920 is about 1096.2134043753.

The spelling of 1317301920 in words is "one billion, three hundred seventeen million, three hundred one thousand, nine hundred twenty".