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1999904560 = 245411274801
BaseRepresentation
bin111011100110100…
…0001111100110000
312011101011200022021
41313031001330300
513043433421220
6530240521224
7100362623353
oct16715017460
95141150267
101999904560
11936991995
12479920214
1325b442aa4
1414d87229a
15ba8944aa
hex77341f30

1999904560 has 80 divisors (see below), whose sum is σ = 4801692672. Its totient is φ = 774144000.

The previous prime is 1999904549. The next prime is 1999904561. The reversal of 1999904560 is 654099991.

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

It is a junction number, because it is equal to n+sod(n) for n = 1999904498 and 1999904507.

It is not an unprimeable number, because it can be changed into a prime (1999904561) 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, 414160 + ... + 418960.

Almost surely, 21999904560 is an apocalyptic number.

1999904560 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 1999904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400846336).

1999904560 is an abundant number, since it is smaller than the sum of its proper divisors (2801788112).

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

1999904560 is a wasteful number, since it uses less digits than its factorization.

1999904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 52.

The square root of 1999904560 is about 44720.2924856267. The cubic root of 1999904560 is about 1259.9010084319.

The spelling of 1999904560 in words is "one billion, nine hundred ninety-nine million, nine hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 127 164 205 254 328 410 508 635 656 820 1016 1270 1640 2032 2540 3280 4801 5080 5207 9602 10160 10414 19204 20828 24005 26035 38408 41656 48010 52070 76816 83312 96020 104140 192040 196841 208280 384080 393682 416560 609727 787364 984205 1219454 1574728 1968410 2438908 3048635 3149456 3936820 4877816 6097270 7873640 9755632 12194540 15747280 24389080 24998807 48778160 49997614 99995228 124994035 199990456 249988070 399980912 499976140 999952280 1999904560