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1317508920 = 23325713131307
BaseRepresentation
bin100111010000111…
…1001011100111000
310101211010101110200
41032201321130320
510144240241140
6334422442200
744435432610
oct11641713470
93354111420
101317508920
11616776a52
12309293360
1317cc585a0
14c6d9ba40
157a9ed030
hex4e879738

1317508920 has 384 divisors, whose sum is σ = 5327562240. Its totient is φ = 274959360.

The previous prime is 1317508909. The next prime is 1317508921. The reversal of 1317508920 is 298057131.

1317508920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317508921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4291407 + ... + 4291713.

It is an arithmetic number, because the mean of its divisors is an integer number (13873860).

Almost surely, 21317508920 is an apocalyptic number.

1317508920 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 1317508920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663781120).

1317508920 is an abundant number, since it is smaller than the sum of its proper divisors (4010053320).

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

1317508920 is a wasteful number, since it uses less digits than its factorization.

1317508920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1317508920 is about 36297.5056994279. The cubic root of 1317508920 is about 1096.2708207975.

The spelling of 1317508920 in words is "one billion, three hundred seventeen million, five hundred eight thousand, nine hundred twenty".