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146410004 = 221361101457
BaseRepresentation
bin10001011101000…
…00101000010100
3101012111101202202
420232200220110
5244440110004
622310024032
73425315216
oct1056405024
9335441682
10146410004
1175710004
1241048018
1324442b50
14156325b6
15ccc0b1e
hex8ba0a14

146410004 has 48 divisors (see below), whose sum is σ = 283846416. Its totient is φ = 65664000.

The previous prime is 146410003. The next prime is 146410013. The reversal of 146410004 is 400014641.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4 + 146410000 = 2^2 + 12100^2 .

146410004 is a modest number, since divided by 10004 gives 1464 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146410003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320144 + ... + 320600.

It is an arithmetic number, because the mean of its divisors is an integer number (5913467).

Almost surely, 2146410004 is an apocalyptic number.

It is an amenable number.

146410004 is a deficient number, since it is larger than the sum of its proper divisors (137436412).

146410004 is a wasteful number, since it uses less digits than its factorization.

146410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 146410004 is about 12100.0001652893. Note that the first 3 decimals coincide. The cubic root of 146410004 is about 527.0561890767.

Adding to 146410004 its reverse (400014641), we get a palindrome (546424645).

The spelling of 146410004 in words is "one hundred forty-six million, four hundred ten thousand, four".

Divisors: 1 2 4 13 26 52 61 101 122 202 244 404 457 793 914 1313 1586 1828 2626 3172 5252 5941 6161 11882 12322 23764 24644 27877 46157 55754 80093 92314 111508 160186 184628 320372 362401 600041 724802 1200082 1449604 2400164 2815577 5631154 11262308 36602501 73205002 146410004