Search a number
-
+
3164100 = 2235253199
BaseRepresentation
bin1100000100011111000100
312221202022220
430010133010
51302222400
6151452340
735615532
oct14043704
95852286
103164100
111871265
1210870b0
1386a264
145c5152
154277a0
hex3047c4

3164100 has 72 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 823680.

The previous prime is 3164081. The next prime is 3164101. The reversal of 3164100 is 14613.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3164100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15801 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 23164100 is an apocalyptic number.

3164100 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 3164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3164100 is an abundant number, since it is smaller than the sum of its proper divisors (6210300).

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

3164100 is a wasteful number, since it uses less digits than its factorization.

3164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3164100 is about 1778.7917247390. The cubic root of 3164100 is about 146.8081165219.

Adding to 3164100 its reverse (14613), we get a palindrome (3178713).

The spelling of 3164100 in words is "three million, one hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 199 212 265 300 318 398 530 597 636 795 796 995 1060 1194 1325 1590 1990 2388 2650 2985 3180 3975 3980 4975 5300 5970 7950 9950 10547 11940 14925 15900 19900 21094 29850 31641 42188 52735 59700 63282 105470 126564 158205 210940 263675 316410 527350 632820 791025 1054700 1582050 3164100