Search a number
-
+
146371050 = 2355271721
BaseRepresentation
bin10001011100101…
…11000111101010
3101012102102100000
420232113013222
5244432333200
622305123430
73425063520
oct1056270752
9335372300
10146371050
1175693811
1241029576
132442b1b7
1415622310
15ccb4300
hex8b971ea

146371050 has 144 divisors (see below), whose sum is σ = 466345152. Its totient is φ = 33436800.

The previous prime is 146371039. The next prime is 146371051. The reversal of 146371050 is 50173641.

146371050 is a `hidden beast` number, since 14 + 637 + 10 + 5 + 0 = 666.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (146371051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84190 + ... + 85910.

It is an arithmetic number, because the mean of its divisors is an integer number (3238508).

Almost surely, 2146371050 is an apocalyptic number.

146371050 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 146371050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172576).

146371050 is an abundant number, since it is smaller than the sum of its proper divisors (319974102).

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

146371050 is a wasteful number, since it uses less digits than its factorization.

146371050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 146371050 is about 12098.3903888079. The cubic root of 146371050 is about 527.0094418889.

The spelling of 146371050 in words is "one hundred forty-six million, three hundred seventy-one thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1721 1890 2025 2430 2835 3150 3402 3442 4050 4725 5163 5670 6075 8505 8605 9450 10326 12047 12150 14175 15489 17010 17210 24094 25815 28350 30978 36141 42525 43025 46467 51630 60235 72282 77445 85050 86050 92934 108423 120470 129075 139401 154890 180705 216846 232335 258150 278802 301175 325269 361410 387225 418203 464670 542115 602350 650538 697005 774450 836406 903525 975807 1084230 1161675 1394010 1626345 1807050 1951614 2091015 2323350 2710575 2927421 3252690 3485025 4182030 4879035 5421150 5854842 6970050 8131725 9758070 10455075 14637105 16263450 20910150 24395175 29274210 48790350 73185525 146371050