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146027007 = 3272331127
BaseRepresentation
bin10001011010000…
…11000111111111
3101011202221101200
420231003013333
5244340331012
622253510543
73422131500
oct1055030777
9334687350
10146027007
1175479285
1240aa2453
132433a719
1415572ba7
15cc473dc
hex8b431ff

146027007 has 18 divisors (see below), whose sum is σ = 245365848. Its totient is φ = 83443752.

The previous prime is 146026987. The next prime is 146027009. The reversal of 146027007 is 700720641.

It is not a de Polignac number, because 146027007 - 219 = 145502719 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146027009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165123 + ... + 166004.

It is an arithmetic number, because the mean of its divisors is an integer number (13631436).

Almost surely, 2146027007 is an apocalyptic number.

146027007 is a deficient number, since it is larger than the sum of its proper divisors (99338841).

146027007 is a wasteful number, since it uses less digits than its factorization.

146027007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331147 (or 331137 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 146027007 is about 12084.1634795297. The cubic root of 146027007 is about 526.5962086396.

Adding to 146027007 its reverse (700720641), we get a palindrome (846747648).

It can be divided in two parts, 14602 and 7007, that added together give a square (21609 = 1472).

The spelling of 146027007 in words is "one hundred forty-six million, twenty-seven thousand, seven".

Divisors: 1 3 7 9 21 49 63 147 441 331127 993381 2317889 2980143 6953667 16225223 20861001 48675669 146027007