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146414030 = 25717612017
BaseRepresentation
bin10001011101000…
…01100111001110
3101012111121021212
420232201213032
5244440222110
622310054422
73425333030
oct1056414716
9335447255
10146414030
1175713034
124104a412
1324444929
1415633c50
15ccc1e05
hex8ba19ce

146414030 has 64 divisors (see below), whose sum is σ = 324300672. Its totient is φ = 46448640.

The previous prime is 146413951. The next prime is 146414039. The reversal of 146414030 is 30414641.

146414030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146413987 and 146414005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146414039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71582 + ... + 73598.

It is an arithmetic number, because the mean of its divisors is an integer number (5067198).

Almost surely, 2146414030 is an apocalyptic number.

146414030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146414030 is an abundant number, since it is smaller than the sum of its proper divisors (177886642).

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

146414030 is a wasteful number, since it uses less digits than its factorization.

146414030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 146414030 is about 12100.1665277797. The cubic root of 146414030 is about 527.0610200507.

Adding to 146414030 its reverse (30414641), we get a palindrome (176828671).

The spelling of 146414030 in words is "one hundred forty-six million, four hundred fourteen thousand, thirty".

Divisors: 1 2 5 7 10 14 17 34 35 61 70 85 119 122 170 238 305 427 595 610 854 1037 1190 2017 2074 2135 4034 4270 5185 7259 10085 10370 14119 14518 20170 28238 34289 36295 68578 70595 72590 123037 141190 171445 240023 246074 342890 480046 615185 861259 1200115 1230370 1722518 2091629 2400230 4183258 4306295 8612590 10458145 14641403 20916290 29282806 73207015 146414030