Search a number
-
+
145668798 = 2321123291103
BaseRepresentation
bin10001010111010…
…11101010111110
3101011002202000200
420223223222332
5244242400143
622242104330
73416110242
oct1053535276
9334082020
10145668798
1175254140
124094b0a6
1324243672
14154bc422
15cbc61d3
hex8aebabe

145668798 has 96 divisors (see below), whose sum is σ = 372003840. Its totient is φ = 40729920.

The previous prime is 145668781. The next prime is 145668833. The reversal of 145668798 is 897866541.

145668798 is a `hidden beast` number, since 1 + 4 + 566 + 8 + 79 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131515 + ... + 132617.

It is an arithmetic number, because the mean of its divisors is an integer number (3875040).

Almost surely, 2145668798 is an apocalyptic number.

145668798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145668798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186001920).

145668798 is an abundant number, since it is smaller than the sum of its proper divisors (226335042).

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

145668798 is a wasteful number, since it uses less digits than its factorization.

145668798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1171 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 145668798 is about 12069.3329558845. The cubic root of 145668798 is about 526.1652702001.

The spelling of 145668798 in words is "one hundred forty-five million, six hundred sixty-eight thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 174 198 207 253 261 319 414 506 522 638 667 759 957 1103 1334 1518 1914 2001 2206 2277 2871 3309 4002 4554 5742 6003 6618 7337 9927 12006 12133 14674 19854 22011 24266 25369 31987 36399 44022 50738 63974 66033 72798 76107 95961 109197 132066 152214 191922 218394 228321 279059 287883 351857 456642 558118 575766 703714 735701 837177 1055571 1471402 1674354 2111142 2207103 2511531 3166713 4414206 5023062 6333426 6621309 8092711 13242618 16185422 24278133 48556266 72834399 145668798