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146668158 = 2347139949
BaseRepresentation
bin10001011110111…
…11101001111110
3101012222111220000
420233133221332
5300021340113
622315335130
73430441650
oct1057375176
9335874800
10146668158
1175876a5a
12411514a6
13245034c0
141569c6d0
15cd22373
hex8bdfa7e

146668158 has 80 divisors (see below), whose sum is σ = 404527200. Its totient is φ = 38677824.

The previous prime is 146668157. The next prime is 146668183. The reversal of 146668158 is 851866641.

146668158 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1466681582 = 43023097142225928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146668157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9768 + ... + 19716.

It is an arithmetic number, because the mean of its divisors is an integer number (5056590).

Almost surely, 2146668158 is an apocalyptic number.

146668158 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 146668158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202263600).

146668158 is an abundant number, since it is smaller than the sum of its proper divisors (257859042).

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

146668158 is a wasteful number, since it uses less digits than its factorization.

146668158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9983 (or 9974 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 146668158 is about 12110.6629876320. The cubic root of 146668158 is about 527.3657803359.

The spelling of 146668158 in words is "one hundred forty-six million, six hundred sixty-eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 9949 14742 19898 29847 59694 69643 89541 129337 139286 179082 208929 258674 268623 388011 417858 537246 626787 776022 805869 905359 1164033 1253574 1611738 1810718 1880361 2328066 2716077 3492099 3760722 5432154 5641083 6984198 8148231 10476297 11282166 16296462 20952594 24444693 48889386 73334079 146668158