Search a number
-
+
6066816 = 27373761
BaseRepresentation
bin10111001001001010000000
3102102020002220
4113021022000
53023114231
6334011040
7102365340
oct27111200
912366086
106066816
1134740a8
122046a80
131345542
14b3cd20
157ec896
hex5c9280

6066816 has 128 divisors (see below), whose sum is σ = 19224960. Its totient is φ = 1658880.

The previous prime is 6066799. The next prime is 6066817. The reversal of 6066816 is 6186606.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6066817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99426 + ... + 99486.

It is an arithmetic number, because the mean of its divisors is an integer number (150195).

Almost surely, 26066816 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 6066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612480).

6066816 is an abundant number, since it is smaller than the sum of its proper divisors (13158144).

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

6066816 is a wasteful number, since it uses less digits than its factorization.

6066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6066816 is about 2463.0907413248. The cubic root of 6066816 is about 182.3840860231.

The spelling of 6066816 in words is "six million, sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 61 64 74 84 96 111 112 122 128 148 168 183 192 222 224 244 259 296 336 366 384 427 444 448 488 518 592 672 732 777 854 888 896 976 1036 1184 1281 1344 1464 1554 1708 1776 1952 2072 2257 2368 2562 2688 2928 3108 3416 3552 3904 4144 4514 4736 5124 5856 6216 6771 6832 7104 7808 8288 9028 10248 11712 12432 13542 13664 14208 15799 16576 18056 20496 23424 24864 27084 27328 31598 33152 36112 40992 47397 49728 54168 54656 63196 72224 81984 94794 99456 108336 126392 144448 163968 189588 216672 252784 288896 379176 433344 505568 758352 866688 1011136 1516704 2022272 3033408 6066816