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1683888640 = 295793967
BaseRepresentation
bin110010001011110…
…0001101000000000
311100100112101221221
41210113201220000
511422033414030
6435031324424
756504550220
oct14427415000
94310471857
101683888640
11794569505
123abb20714
1320ab28115
1411d8d0080
159cc6ee7a
hex645e1a00

1683888640 has 80 divisors (see below), whose sum is σ = 4614204672. Its totient is φ = 577327104.

The previous prime is 1683888637. The next prime is 1683888649. The reversal of 1683888640 is 468883861.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1683888649) 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, 29064 + ... + 64903.

Almost surely, 21683888640 is an apocalyptic number.

1683888640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683888640 is an abundant number, since it is smaller than the sum of its proper divisors (2930316032).

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

1683888640 is an frugal number, since it uses more digits than its factorization.

1683888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93997 (or 93981 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The square root of 1683888640 is about 41035.2121963564. The cubic root of 1683888640 is about 1189.7008969812.

The spelling of 1683888640 in words is "one billion, six hundred eighty-three million, eight hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 93967 187934 375868 469835 657769 751736 939670 1315538 1503472 1879340 2631076 3006944 3288845 3758680 5262152 6013888 6577690 7517360 10524304 12027776 13155380 15034720 21048608 24055552 26310760 30069440 42097216 48111104 52621520 60138880 84194432 105243040 120277760 168388864 210486080 240555520 336777728 420972160 841944320 1683888640