Search a number
-
+
3668163870 = 235744938903
BaseRepresentation
bin1101101010100011…
…1011110100011110
3100110122022000212010
43122220323310132
530003022220440
61403553252050
7156620610210
oct33250736436
910418260763
103668163870
111612645898
12864564026
13465c57c87
1426b2545b0
15167078580
hexdaa3bd1e

3668163870 has 64 divisors (see below), whose sum is σ = 10083916800. Its totient is φ = 836548608.

The previous prime is 3668163841. The next prime is 3668163911. The reversal of 3668163870 is 783618663.

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, 74839 + ... + 113741.

It is an arithmetic number, because the mean of its divisors is an integer number (157561200).

Almost surely, 23668163870 is an apocalyptic number.

3668163870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3668163870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041958400).

3668163870 is an abundant number, since it is smaller than the sum of its proper divisors (6415752930).

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

3668163870 is a wasteful number, since it uses less digits than its factorization.

3668163870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39369.

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3668163870 is about 60565.3685698354. The cubic root of 3668163870 is about 1542.2315248018.

The spelling of 3668163870 in words is "three billion, six hundred sixty-eight million, one hundred sixty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 449 898 1347 2245 2694 3143 4490 6286 6735 9429 13470 15715 18858 31430 38903 47145 77806 94290 116709 194515 233418 272321 389030 544642 583545 816963 1167090 1361605 1633926 2723210 4084815 8169630 17467447 34934894 52402341 87337235 104804682 122272129 174674470 244544258 262011705 366816387 524023410 611360645 733632774 1222721290 1834081935 3668163870