Search a number
-
+
6616890 = 23557389
BaseRepresentation
bin11001001111011100111010
3110110011200000
4121033130322
53143220030
6353453430
7110146140
oct31173472
913404600
106616890
11380a405
122271276
1314a8a27
14c43590
158aa860
hex64f73a

6616890 has 96 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 1508544.

The previous prime is 6616879. The next prime is 6616931. The reversal of 6616890 is 986166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16816 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 26616890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6616890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

6616890 is an abundant number, since it is smaller than the sum of its proper divisors (13825350).

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

6616890 is a wasteful number, since it uses less digits than its factorization.

6616890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6616890 is about 2572.3316271430. The cubic root of 6616890 is about 187.7376187386.

The spelling of 6616890 in words is "six million, six hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 389 405 486 567 630 778 810 945 1134 1167 1215 1701 1890 1945 2334 2430 2723 2835 3402 3501 3890 5446 5670 5835 7002 8169 8505 10503 11670 13615 16338 17010 17505 21006 24507 27230 31509 35010 40845 49014 52515 63018 73521 81690 94527 105030 122535 147042 157545 189054 220563 245070 315090 367605 441126 472635 661689 735210 945270 1102815 1323378 2205630 3308445 6616890