Search a number
-
+
3996898320 = 2435295571031
BaseRepresentation
bin1110111000111011…
…1101010000010000
3101022112212110202010
43232032331100100
531141201221240
61500335222520
7201022034532
oct35616752020
911275773663
103996898320
111771165958
12936677a40
134b90a69bc
1429cb87852
15185d61280
hexee3bd410

3996898320 has 160 divisors (see below), whose sum is σ = 12853105920. Its totient is φ = 1026242560.

The previous prime is 3996898313. The next prime is 3996898331. The reversal of 3996898320 is 238986993.

3996898320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3876205 + ... + 3877235.

It is an arithmetic number, because the mean of its divisors is an integer number (80331912).

Almost surely, 23996898320 is an apocalyptic number.

3996898320 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 3996898320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426552960).

3996898320 is an abundant number, since it is smaller than the sum of its proper divisors (8856207600).

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

3996898320 is a wasteful number, since it uses less digits than its factorization.

3996898320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The square root of 3996898320 is about 63221.0275145857. The cubic root of 3996898320 is about 1586.9906450294.

The spelling of 3996898320 in words is "three billion, nine hundred ninety-six million, eight hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 557 580 696 870 1031 1114 1160 1392 1671 1740 2062 2228 2320 2785 3093 3342 3480 4124 4456 5155 5570 6186 6684 6960 8248 8355 8912 10310 11140 12372 13368 15465 16153 16496 16710 20620 22280 24744 26736 29899 30930 32306 33420 41240 44560 48459 49488 59798 61860 64612 66840 80765 82480 89697 96918 119596 123720 129224 133680 149495 161530 179394 193836 239192 242295 247440 258448 298990 323060 358788 387672 448485 478384 484590 574267 597980 646120 717576 775344 896970 969180 1148534 1195960 1292240 1435152 1722801 1793940 1938360 2297068 2391920 2871335 3445602 3587880 3876720 4594136 5742670 6891204 7175760 8614005 9188272 11485340 13782408 16653743 17228010 22970680 27564816 33307486 34456020 45941360 49961229 66614972 68912040 83268715 99922458 133229944 137824080 166537430 199844916 249806145 266459888 333074860 399689832 499612290 666149720 799379664 999224580 1332299440 1998449160 3996898320