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146020014 = 23274632503
BaseRepresentation
bin10001011010000…
…01011010101110
3101011202120210200
420231001122232
5244340120024
622253414330
73422102220
oct1055013256
9334676720
10146020014
1175473aa8
1240a9a3a6
132433749a
1415570410
15cc452c9
hex8b416ae

146020014 has 48 divisors (see below), whose sum is σ = 362499072. Its totient is φ = 41613264.

The previous prime is 146019977. The next prime is 146020033. The reversal of 146020014 is 410020641.

146020014 is a `hidden beast` number, since 1 + 460 + 200 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57087 + ... + 59589.

It is an arithmetic number, because the mean of its divisors is an integer number (7552064).

Almost surely, 2146020014 is an apocalyptic number.

146020014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

146020014 is an abundant number, since it is smaller than the sum of its proper divisors (216479058).

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

146020014 is a wasteful number, since it uses less digits than its factorization.

146020014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 146020014 is about 12083.8741304269. The cubic root of 146020014 is about 526.5878025551.

Adding to 146020014 its reverse (410020641), we get a palindrome (556040655).

The spelling of 146020014 in words is "one hundred forty-six million, twenty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 463 926 1389 2503 2778 3241 4167 5006 6482 7509 8334 9723 15018 17521 19446 22527 29169 35042 45054 52563 58338 105126 157689 315378 1158889 2317778 3476667 6953334 8112223 10430001 16224446 20860002 24336669 48673338 73010007 146020014