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146052736 = 275321529
BaseRepresentation
bin10001011010010…
…01011010000000
3101011211020200121
420231021122000
5244342141421
622254230024
73422266504
oct1055113200
9334736617
10146052736
1175496645
1240ab5314
132434934b
141557c304
15cc4ed41
hex8b49680

146052736 has 32 divisors (see below), whose sum is σ = 296468100. Its totient is φ = 71645184.

The previous prime is 146052733. The next prime is 146052769. The reversal of 146052736 is 637250641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145347136 + 705600 = 12056^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (146052733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3981 + ... + 17548.

Almost surely, 2146052736 is an apocalyptic number.

146052736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146052736 is an abundant number, since it is smaller than the sum of its proper divisors (150415364).

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

146052736 is an equidigital number, since it uses as much as digits as its factorization.

146052736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21596 (or 21584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 146052736 is about 12085.2280077788. The cubic root of 146052736 is about 526.6271344217.

The spelling of 146052736 in words is "one hundred forty-six million, fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 21529 43058 86116 172232 344464 688928 1141037 1377856 2282074 2755712 4564148 9128296 18256592 36513184 73026368 146052736