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146106450 = 23352715461
BaseRepresentation
bin10001011010101…
…10100001010010
3101011220222101000
420231112201102
5244400401300
622255322430
73422612220
oct1055264122
9334828330
10146106450
1175522a36
1240b20416
1324367929
1415593b10
15cc60c00
hex8b56852

146106450 has 96 divisors (see below), whose sum is σ = 460149120. Its totient is φ = 33393600.

The previous prime is 146106439. The next prime is 146106497. The reversal of 146106450 is 54601641.

146106450 is a `hidden beast` number, since 1 + 4 + 6 + 10 + 645 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (4793220).

Almost surely, 2146106450 is an apocalyptic number.

146106450 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 146106450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230074560).

146106450 is an abundant number, since it is smaller than the sum of its proper divisors (314042670).

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

146106450 is a wasteful number, since it uses less digits than its factorization.

146106450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15489 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146106450 is about 12087.4501033096. The cubic root of 146106450 is about 526.6916859520.

The spelling of 146106450 in words is "one hundred forty-six million, one hundred six thousand, four hundred 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 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 15461 30922 46383 77305 92766 108227 139149 154610 216454 231915 278298 324681 386525 417447 463830 541135 649362 695745 773050 834894 974043 1082270 1159575 1391490 1623405 1948086 2087235 2319150 2705675 2922129 3246810 3478725 4174470 4870215 5411350 5844258 6957450 8117025 9740430 10436175 14610645 16234050 20872350 24351075 29221290 48702150 73053225 146106450