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2100386808 = 2333134991499
BaseRepresentation
bin111110100110001…
…0101101111111000
312102101020201001000
41331030111233320
513300144334213
6544230325000
7103022664462
oct17514255770
95371221030
102100386808
11988682773
124a74b9760
132761c4c40
1415cd4b132
15c45e1c73
hex7d315bf8

2100386808 has 128 divisors (see below), whose sum is σ = 6300000000. Its totient is φ = 644547456.

The previous prime is 2100386789. The next prime is 2100386837. The reversal of 2100386808 is 8086830012.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400443 + ... + 1401941.

It is an arithmetic number, because the mean of its divisors is an integer number (49218750).

Almost surely, 22100386808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100386808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150000000).

2100386808 is an abundant number, since it is smaller than the sum of its proper divisors (4199613192).

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

2100386808 is a wasteful number, since it uses less digits than its factorization.

2100386808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2100386808 is about 45829.9771765162. The cubic root of 2100386808 is about 1280.6577852821.

The spelling of 2100386808 in words is "two billion, one hundred million, three hundred eighty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 499 702 936 998 1404 1497 1499 1996 2808 2994 2998 3992 4491 4497 5988 5996 6487 8982 8994 11976 11992 12974 13473 13491 17964 17988 19461 19487 25948 26946 26982 35928 35976 38922 38974 40473 51896 53892 53964 58383 58461 77844 77948 80946 107784 107928 116766 116922 155688 155896 161892 175149 175383 233532 233844 323784 350298 350766 467064 467688 526149 700596 701532 748001 1052298 1401192 1403064 1496002 2104596 2244003 2992004 4209192 4488006 5984008 6732009 8976012 9724013 13464018 17952024 19448026 20196027 26928036 29172039 38896052 40392054 53856072 58344078 77792104 80784108 87516117 116688156 161568216 175032234 233376312 262548351 350064468 525096702 700128936 1050193404 2100386808