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4198703960 = 2351116358543
BaseRepresentation
bin1111101001000011…
…0010001101011000
3101211121121021001002
43322100302031120
532044332011320
61532344444132
7206022252263
oct37220621530
911747537032
104198703960
111865071480
12992179648
1351bb43b19
142bb8b9cda
15198925675
hexfa432358

4198703960 has 64 divisors (see below), whose sum is σ = 10369313280. Its totient is φ = 1517408640.

The previous prime is 4198703959. The next prime is 4198703983. The reversal of 4198703960 is 693078914.

It is a super-2 number, since 2×41987039602 = 35258229887439363200, which contains 22 as substring.

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, 42449 + ... + 100991.

It is an arithmetic number, because the mean of its divisors is an integer number (162020520).

Almost surely, 24198703960 is an apocalyptic number.

4198703960 is a gapful number since it is divisible by the number (40) 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 4198703960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184656640).

4198703960 is an abundant number, since it is smaller than the sum of its proper divisors (6170609320).

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

4198703960 is a wasteful number, since it uses less digits than its factorization.

4198703960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58728 (or 58724 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 4198703960 is about 64797.4070468873. The cubic root of 4198703960 is about 1613.2626711684.

The spelling of 4198703960 in words is "four billion, one hundred ninety-eight million, seven hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 58543 71720 117086 234172 292715 468344 585430 643973 1170860 1287946 2341720 2575892 3219865 5151784 6439730 9542509 12879460 19085018 25758920 38170036 47712545 76340072 95425090 104967599 190850180 209935198 381700360 419870396 524837995 839740792 1049675990 2099351980 4198703960