Search a number
-
+
3999416820 = 2235763115091
BaseRepresentation
bin1110111001100010…
…0100000111110100
3101022201121102110220
43232120210013310
531142322314240
61500505214340
7201052324230
oct35630440764
911281542426
103999416820
111772626063
129374913b0
134b9779139
1429d2415c0
151861ac5d0
hexee6241f4

3999416820 has 96 divisors (see below), whose sum is σ = 12819265536. Its totient is φ = 912643200.

The previous prime is 3999416819. The next prime is 3999416833. The reversal of 3999416820 is 286149993.

3999416820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257475 + ... + 272565.

It is an arithmetic number, because the mean of its divisors is an integer number (133534016).

Almost surely, 23999416820 is an apocalyptic number.

3999416820 is a gapful number since it is divisible by the number (30) 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 3999416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409632768).

3999416820 is an abundant number, since it is smaller than the sum of its proper divisors (8819848716).

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

3999416820 is a wasteful number, since it uses less digits than its factorization.

3999416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15741 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 3999416820 is about 63240.9425925958. The cubic root of 3999416820 is about 1587.3239031733.

The spelling of 3999416820 in words is "three billion, nine hundred ninety-nine million, four hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 631 1262 1893 2524 3155 3786 4417 6310 7572 8834 9465 12620 13251 15091 17668 18930 22085 26502 30182 37860 44170 45273 53004 60364 66255 75455 88340 90546 105637 132510 150910 181092 211274 226365 265020 301820 316911 422548 452730 528185 633822 905460 1056370 1267644 1584555 2112740 3169110 6338220 9522421 19044842 28567263 38089684 47612105 57134526 66656947 95224210 114269052 133313894 142836315 190448420 199970841 266627788 285672630 333284735 399941682 571345260 666569470 799883364 999854205 1333138940 1999708410 3999416820