Search a number
-
+
148106475 = 34521161109
BaseRepresentation
bin10001101001111…
…10110011101011
3101022200120220000
420310332303223
5300403401400
622410234043
73445612206
oct1064766353
9338616800
10148106475
1176669650
1241725923
13248b808a
141595493d
15d008600
hex8d3eceb

148106475 has 120 divisors (see below), whose sum is σ = 306981840. Its totient is φ = 69984000.

The previous prime is 148106471. The next prime is 148106477. The reversal of 148106475 is 574601841.

It is a happy number.

148106475 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 0 + 647 + 5 = 666.

It is not a de Polignac number, because 148106475 - 22 = 148106471 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148106471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1358721 + ... + 1358829.

It is an arithmetic number, because the mean of its divisors is an integer number (2558182).

Almost surely, 2148106475 is an apocalyptic number.

148106475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148106475 is an abundant number, since it is smaller than the sum of its proper divisors (158875365).

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

148106475 is a wasteful number, since it uses less digits than its factorization.

148106475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 148106475 is about 12169.9003693539. The cubic root of 148106475 is about 529.0840653372.

The spelling of 148106475 in words is "one hundred forty-eight million, one hundred six thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 61 75 81 99 109 135 165 183 225 275 297 305 327 405 495 545 549 671 675 825 891 915 981 1199 1485 1525 1635 1647 2013 2025 2475 2725 2745 2943 3355 3597 4455 4575 4905 4941 5995 6039 6649 7425 8175 8235 8829 10065 10791 13725 14715 16775 17985 18117 19947 22275 24525 24705 29975 30195 32373 33245 41175 44145 50325 53955 54351 59841 73139 73575 89925 90585 97119 99735 123525 150975 161865 166225 179523 219417 220725 269775 271755 299205 365695 452925 485595 498675 538569 658251 809325 897615 1097085 1358775 1496025 1828475 1974753 2427975 2692845 3291255 4488075 5485425 5924259 9873765 13464225 16456275 29621295 49368825 148106475