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2003980608 = 26337165673
BaseRepresentation
bin111011101110010…
…0101000101000000
312011122211202121000
41313130211011000
513101004334413
6530504132000
7100442361030
oct16734450500
95148752530
102003980608
11939216323
1247b167000
1325c23c156
141502138c0
15badec073
hex77725140

2003980608 has 112 divisors (see below), whose sum is σ = 6732991360. Its totient is φ = 572562432.

The previous prime is 2003980579. The next prime is 2003980631. The reversal of 2003980608 is 8060893002.

2003980608 is a `hidden beast` number, since 200 + 398 + 0 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 70741 + ... + 94932.

Almost surely, 22003980608 is an apocalyptic number.

2003980608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2003980608 is an abundant number, since it is smaller than the sum of its proper divisors (4729010752).

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

2003980608 is a wasteful number, since it uses less digits than its factorization.

2003980608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165701 (or 165685 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2003980608 is about 44765.8419780082. The cubic root of 2003980608 is about 1260.7563712603.

The spelling of 2003980608 in words is "two billion, three million, nine hundred eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 165673 331346 497019 662692 994038 1159711 1325384 1491057 1988076 2319422 2650768 2982114 3479133 3976152 4473171 4638844 5301536 5964228 6958266 7952304 8946342 9277688 10437399 10603072 11928456 13916532 15904608 17892684 18555376 20874798 23856912 27833064 31312197 31809216 35785368 37110752 41749596 47713824 55666128 62624394 71570736 74221504 83499192 95427648 111332256 125248788 143141472 166998384 222664512 250497576 286282944 333996768 500995152 667993536 1001990304 2003980608