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146019978 = 232131932843
BaseRepresentation
bin10001011010000…
…01011010001010
3101011202120202100
420231001122022
5244340114403
622253414230
73422102136
oct1055013212
9334676670
10146019978
1175473a75
1240a9a376
1324337470
14155703c6
15cc452a3
hex8b4168a

146019978 has 48 divisors (see below), whose sum is σ = 358656480. Its totient is φ = 42563232.

The previous prime is 146019977. The next prime is 146020033. The reversal of 146019978 is 879910641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146019977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11976 + ... + 20867.

It is an arithmetic number, because the mean of its divisors is an integer number (7472010).

Almost surely, 2146019978 is an apocalyptic number.

146019978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146019978 is an abundant number, since it is smaller than the sum of its proper divisors (212636502).

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

146019978 is a wasteful number, since it uses less digits than its factorization.

146019978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32883 (or 32880 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 146019978 is about 12083.8726408383. The cubic root of 146019978 is about 526.5877592799.

The spelling of 146019978 in words is "one hundred forty-six million, nineteen thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 32843 65686 98529 197058 295587 426959 591174 624017 853918 1248034 1280877 1872051 2561754 3744102 3842631 5616153 7685262 8112221 11232306 16224442 24336663 48673326 73009989 146019978