Search a number
-
+
146105004 = 223175961199
BaseRepresentation
bin10001011010101…
…10001010101100
3101011220220101110
420231112022230
5244400330004
622255312020
73422605053
oct1055261254
9334826343
10146105004
1175521941
1240b1b610
1324367086
141559339a
15cc60589
hex8b562ac

146105004 has 96 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 44098560.

The previous prime is 146104979. The next prime is 146105009. The reversal of 146105004 is 400501641.

It is not an unprimeable number, because it can be changed into a prime (146105009) 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 31 ways as a sum of consecutive naturals, for example, 734097 + ... + 734295.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2146105004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146105004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

146105004 is an abundant number, since it is smaller than the sum of its proper divisors (228870996).

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

146105004 is a wasteful number, since it uses less digits than its factorization.

146105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 146105004 is about 12087.3902890574. The cubic root of 146105004 is about 526.6899484091.

Adding to 146105004 its reverse (400501641), we get a palindrome (546606645).

The spelling of 146105004 in words is "one hundred forty-six million, one hundred five thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 59 61 68 102 118 122 177 183 199 204 236 244 354 366 398 597 708 732 796 1003 1037 1194 2006 2074 2388 3009 3111 3383 3599 4012 4148 6018 6222 6766 7198 10149 10797 11741 12036 12139 12444 13532 14396 20298 21594 23482 24278 35223 36417 40596 43188 46964 48556 61183 70446 72834 122366 140892 145668 183549 199597 206363 244732 367098 399194 412726 598791 619089 716201 734196 798388 825452 1197582 1238178 1432402 2148603 2395164 2476356 2864804 4297206 8594412 12175417 24350834 36526251 48701668 73052502 146105004