Search a number
-
+
1996335120 = 243513639851
BaseRepresentation
bin111011011111101…
…1010100000010000
312011010110022221210
41312333122200100
513042030210440
6530032220120
7100320366003
oct16677324020
95133408853
101996335120
1193497413a
1247869a640
1325a7931b0
1414d1c353a
15ba3dba80
hex76fda810

1996335120 has 80 divisors (see below), whose sum is σ = 6664698432. Its totient is φ = 491404800.

The previous prime is 1996335101. The next prime is 1996335127. The reversal of 1996335120 is 215336991.

1996335120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×19963351202 = 7970707822690828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1996335127) 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, 316806 + ... + 323045.

Almost surely, 21996335120 is an apocalyptic number.

1996335120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1996335120 is an abundant number, since it is smaller than the sum of its proper divisors (4668363312).

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

1996335120 is a wasteful number, since it uses less digits than its factorization.

1996335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639880 (or 639874 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 1996335120 is about 44680.3661578551. The cubic root of 1996335120 is about 1259.1510027719.

The spelling of 1996335120 in words is "one billion, nine hundred ninety-six million, three hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 639851 1279702 1919553 2559404 3199255 3839106 5118808 6398510 7678212 8318063 9597765 10237616 12797020 15356424 16636126 19195530 24954189 25594040 30712848 33272252 38391060 41590315 49908378 51188080 66544504 76782120 83180630 99816756 124770945 133089008 153564240 166361260 199633512 249541890 332722520 399267024 499083780 665445040 998167560 1996335120