Search a number
-
+
15996150 = 2335217241
BaseRepresentation
bin111101000001…
…010011110110
31010002200121000
4331001103312
513043334100
61330504130
7252652002
oct75012366
933080530
1015996150
119036165
125435046
133410ba1
1421a5702
15160e900
hexf414f6

15996150 has 144 divisors (see below), whose sum is σ = 47965680. Its totient is φ = 3916800.

The previous prime is 15996143. The next prime is 15996161. The reversal of 15996150 is 5169951.

15996150 is a `hidden beast` number, since 1 + 599 + 61 + 5 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 390130 + ... + 390170.

It is an arithmetic number, because the mean of its divisors is an integer number (333095).

Almost surely, 215996150 is an apocalyptic number.

15996150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15996150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23982840).

15996150 is an abundant number, since it is smaller than the sum of its proper divisors (31969530).

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

15996150 is a wasteful number, since it uses less digits than its factorization.

15996150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 15996150 is about 3999.5187210463. The cubic root of 15996150 is about 251.9639971241.

The spelling of 15996150 in words is "fifteen million, nine hundred ninety-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 41 45 50 51 54 75 82 85 90 102 123 135 150 153 170 205 225 246 255 270 289 306 369 410 425 450 459 510 578 615 675 697 738 765 850 867 918 1025 1107 1230 1275 1350 1394 1445 1530 1734 1845 2050 2091 2214 2295 2550 2601 2890 3075 3485 3690 3825 4182 4335 4590 5202 5535 6150 6273 6970 7225 7650 7803 8670 9225 10455 11070 11475 11849 12546 13005 14450 15606 17425 18450 18819 20910 21675 22950 23698 26010 27675 31365 34850 35547 37638 39015 43350 52275 55350 59245 62730 65025 71094 78030 94095 104550 106641 118490 130050 156825 177735 188190 195075 213282 296225 313650 319923 355470 390150 470475 533205 592450 639846 888675 940950 1066410 1599615 1777350 2666025 3199230 5332050 7998075 15996150