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146683973 = 172507557
BaseRepresentation
bin10001011111000…
…11100001000101
3101020000022120202
420233203201011
5300022341343
622315540245
73430536032
oct1057434105
9336008522
10146683973
1175887927
124115a685
132450a767
14156a4389
15cd26db8
hex8be3845

146683973 has 6 divisors (see below), whose sum is σ = 155820306. Its totient is φ = 138055232.

The previous prime is 146683969. The next prime is 146683987. The reversal of 146683973 is 379386641.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 83210884 + 63473089 = 9122^2 + 7967^2 .

It is not a de Polignac number, because 146683973 - 22 = 146683969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146683963) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 253490 + ... + 254067.

It is an arithmetic number, because the mean of its divisors is an integer number (25970051).

Almost surely, 2146683973 is an apocalyptic number.

It is an amenable number.

146683973 is a deficient number, since it is larger than the sum of its proper divisors (9136333).

146683973 is an equidigital number, since it uses as much as digits as its factorization.

146683973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507591 (or 507574 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 146683973 is about 12111.3159070350. The cubic root of 146683973 is about 527.3847346661.

The spelling of 146683973 in words is "one hundred forty-six million, six hundred eighty-three thousand, nine hundred seventy-three".

Divisors: 1 17 289 507557 8628469 146683973