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146482128 = 24331326083
BaseRepresentation
bin10001011101100…
…10001111010000
3101012122001201000
420232302033100
5244444412003
622311342000
73426035412
oct1056621720
9335561630
10146482128
117575a211
1241081900
1324469920
14156509b2
15ccd71a3
hex8bb23d0

146482128 has 80 divisors (see below), whose sum is σ = 452818240. Its totient is φ = 45069696.

The previous prime is 146482121. The next prime is 146482129. The reversal of 146482128 is 821284641.

146482128 is a `hidden beast` number, since 1 + 4 + 648 + 2 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146482092 and 146482101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146482121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7426 + ... + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (5660228).

Almost surely, 2146482128 is an apocalyptic number.

146482128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146482128 is an abundant number, since it is smaller than the sum of its proper divisors (306336112).

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

146482128 is a wasteful number, since it uses less digits than its factorization.

146482128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26113 (or 26101 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 146482128 is about 12102.9801288774. The cubic root of 146482128 is about 527.1427204139.

The spelling of 146482128 in words is "one hundred forty-six million, four hundred eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 26083 52166 78249 104332 156498 208664 234747 312996 339079 417328 469494 625992 678158 704241 938988 1017237 1251984 1356316 1408482 1877976 2034474 2712632 2816964 3051711 3755952 4068948 5425264 5633928 6103422 8137896 9155133 11267856 12206844 16275792 18310266 24413688 36620532 48827376 73241064 146482128