Search a number
-
+
16104960 = 29335233
BaseRepresentation
bin111101011011…
…111000000000
31010022012212000
4331123320000
513110324320
61333104000
7253614144
oct75337000
933265760
1016104960
1190aa993
125488000
13344b581
1421d3224
151631c90
hexf5be00

16104960 has 160 divisors (see below), whose sum is σ = 57451680. Its totient is φ = 4276224.

The previous prime is 16104941. The next prime is 16104961. The reversal of 16104960 is 6940161.

16104960 is a `hidden beast` number, since 1 + 610 + 49 + 6 + 0 = 666.

16104960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16104961) 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, 69004 + ... + 69236.

It is an arithmetic number, because the mean of its divisors is an integer number (359073).

Almost surely, 216104960 is an apocalyptic number.

16104960 is a gapful number since it is divisible by the number (10) 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 16104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

16104960 is an abundant number, since it is smaller than the sum of its proper divisors (41346720).

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

16104960 is an equidigital number, since it uses as much as digits as its factorization.

16104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16104960 is about 4013.0985534871. The cubic root of 16104960 is about 252.5340149581.

It can be divided in two parts, 16 and 104960, that added together give a 4-th power (104976 = 184).

The spelling of 16104960 in words is "sixteen million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 233 240 256 270 288 320 360 384 432 466 480 512 540 576 640 699 720 768 864 932 960 1080 1152 1165 1280 1398 1440 1536 1728 1864 1920 2097 2160 2304 2330 2560 2796 2880 3456 3495 3728 3840 4194 4320 4608 4660 5592 5760 6291 6912 6990 7456 7680 8388 8640 9320 10485 11184 11520 12582 13824 13980 14912 16776 17280 18640 20970 22368 23040 25164 27960 29824 31455 33552 34560 37280 41940 44736 50328 55920 59648 62910 67104 69120 74560 83880 89472 100656 111840 119296 125820 134208 149120 167760 178944 201312 223680 251640 268416 298240 335520 357888 402624 447360 503280 536832 596480 671040 805248 894720 1006560 1073664 1342080 1610496 1789440 2013120 2684160 3220992 4026240 5368320 8052480 16104960