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1317217920 = 2735686051
BaseRepresentation
bin100111010000011…
…0010011010000000
310101210120121021220
41032200302122000
510144201433140
6334412315040
744433111324
oct11640623200
93353517256
101317217920
11616598357
12309172a80
1317cb85cb5
14c6d23984
157a991bd0
hex4e832680

1317217920 has 64 divisors (see below), whose sum is σ = 4198638240. Its totient is φ = 351257600.

The previous prime is 1317217901. The next prime is 1317217927. The reversal of 1317217920 is 297127131.

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

It is not an unprimeable number, because it can be changed into a prime (1317217927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341106 + ... + 344945.

Almost surely, 21317217920 is an apocalyptic number.

1317217920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1317217920 is an abundant number, since it is smaller than the sum of its proper divisors (2881420320).

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

1317217920 is an equidigital number, since it uses as much as digits as its factorization.

1317217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686073 (or 686061 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 1317217920 is about 36293.4969381568. The cubic root of 1317217920 is about 1096.1901032419.

The spelling of 1317217920 in words is "one billion, three hundred seventeen million, two hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 686051 1372102 2058153 2744204 3430255 4116306 5488408 6860510 8232612 10290765 10976816 13721020 16465224 20581530 21953632 27442040 32930448 41163060 43907264 54884080 65860896 82326120 87814528 109768160 131721792 164652240 219536320 263443584 329304480 439072640 658608960 1317217920