Search a number
-
+
6112890 = 2325731313
BaseRepresentation
bin10111010100011001111010
3102111120022100
4113110121322
53031103030
6335004230
7102646560
oct27243172
912446270
106112890
1134a5783
122069676
1313604c4
14b51a30
1580b360
hex5d467a

6112890 has 96 divisors (see below), whose sum is σ = 18809856. Its totient is φ = 1347840.

The previous prime is 6112849. The next prime is 6112907. The reversal of 6112890 is 982116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19374 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (195936).

Almost surely, 26112890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6112890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404928).

6112890 is an abundant number, since it is smaller than the sum of its proper divisors (12696966).

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

6112890 is a wasteful number, since it uses less digits than its factorization.

6112890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6112890 is about 2472.4259341788. The cubic root of 6112890 is about 182.8446231081.

It can be divided in two parts, 6 and 112890, that added together give a square (112896 = 3362).

The spelling of 6112890 in words is "six million, one hundred twelve thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 313 315 434 465 558 626 630 651 930 939 1085 1302 1395 1565 1878 1953 2170 2191 2790 2817 3130 3255 3906 4382 4695 5634 6510 6573 9390 9703 9765 10955 13146 14085 19406 19530 19719 21910 28170 29109 32865 39438 48515 58218 65730 67921 87327 97030 98595 135842 145545 174654 197190 203763 291090 339605 407526 436635 611289 679210 873270 1018815 1222578 2037630 3056445 6112890