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1693310080 = 27571134361
BaseRepresentation
bin110010011101101…
…1101110010000000
311101000021001202011
41210323131302000
511431441410310
6440005302304
756650620040
oct14473356200
94330231664
101693310080
11799913a20
123b3104994
1320ca76537
14120c63720
159d9d178a
hex64eddc80

1693310080 has 128 divisors (see below), whose sum is σ = 5047090560. Its totient is φ = 527769600.

The previous prime is 1693310057. The next prime is 1693310081. The reversal of 1693310080 is 800133961.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1693310081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32100 + ... + 66460.

It is an arithmetic number, because the mean of its divisors is an integer number (39430395).

Almost surely, 21693310080 is an apocalyptic number.

1693310080 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 1693310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523545280).

1693310080 is an abundant number, since it is smaller than the sum of its proper divisors (3353780480).

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

1693310080 is a wasteful number, since it uses less digits than its factorization.

1693310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34398 (or 34386 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1693310080 is about 41149.8490884232. The cubic root of 1693310080 is about 1191.9155834097.

The spelling of 1693310080 in words is "one billion, six hundred ninety-three million, three hundred ten thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 34361 49280 68722 137444 171805 240527 274888 343610 377971 481054 549776 687220 755942 962108 1099552 1202635 1374440 1511884 1889855 1924216 2199104 2405270 2645797 2748880 3023768 3779710 3848432 4398208 4810540 5291594 5497760 6047536 7559420 7696864 9621080 10583188 10995520 12095072 13228985 15118840 15393728 19242160 21166376 21991040 24190144 26457970 30237680 30787456 38484320 42332752 48380288 52915940 60475360 76968640 84665504 105831880 120950720 153937280 169331008 211663760 241901440 338662016 423327520 846655040 1693310080