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1311720480 = 25345719761
BaseRepresentation
bin100111000101111…
…0100010000100000
310101102020022020000
41032023310100200
510141300023410
6334054420000
744335303650
oct11613642040
93342208200
101311720480
11613483014
12307361600
1317b9ac985
14c62d2360
157a257dc0
hex4e2f4420

1311720480 has 480 divisors, whose sum is σ = 5576376960. Its totient is φ = 283668480.

The previous prime is 1311720469. The next prime is 1311720491. The reversal of 1311720480 is 840271131.

1311720480 is a `hidden beast` number, since 13 + 1 + 172 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1311720469) and next prime (1311720491).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13117204802 = 3441221235302860800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723300 + ... + 1724060.

It is an arithmetic number, because the mean of its divisors is an integer number (11617452).

Almost surely, 21311720480 is an apocalyptic number.

1311720480 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 1311720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788188480).

1311720480 is an abundant number, since it is smaller than the sum of its proper divisors (4264656480).

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

1311720480 is a wasteful number, since it uses less digits than its factorization.

1311720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1311720480 is about 36217.6818694957. The cubic root of 1311720480 is about 1094.6629850451.

The spelling of 1311720480 in words is "one billion, three hundred eleven million, seven hundred twenty thousand, four hundred eighty".