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3680104320 = 27335212969
BaseRepresentation
bin1101101101011001…
…1110111110000000
3100111110202200002000
43123112132332000
530014101314240
61405101224000
7160124241054
oct33326367600
910443680060
103680104320
111619360932
12868562000
13468578b29
1426ca81c64
15168136430
hexdb59ef80

3680104320 has 128 divisors (see below), whose sum is σ = 13033764000. Its totient is φ = 981356544.

The previous prime is 3680104283. The next prime is 3680104339. The reversal of 3680104320 is 234010863.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89205 + ... + 123764.

Almost surely, 23680104320 is an apocalyptic number.

3680104320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3680104320 is an abundant number, since it is smaller than the sum of its proper divisors (9353659680).

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

3680104320 is a wasteful number, since it uses less digits than its factorization.

3680104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212997 (or 212979 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3680104320 is about 60663.8633784562. The cubic root of 3680104320 is about 1543.9031143623.

The spelling of 3680104320 in words is "three billion, six hundred eighty million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 212969 425938 638907 851876 1064845 1277814 1703752 1916721 2129690 2555628 3194535 3407504 3833442 4259380 5111256 5750163 6389070 6815008 7666884 8518760 9583605 10222512 11500326 12778140 13630016 15333768 17037520 19167210 20445024 23000652 25556280 27260032 28750815 30667536 34075040 38334420 40890048 46001304 51112560 57501630 61335072 68150080 76668840 81780096 92002608 102225120 115003260 122670144 136300160 153337680 184005216 204450240 230006520 245340288 306675360 368010432 408900480 460013040 613350720 736020864 920026080 1226701440 1840052160 3680104320