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146160016 = 2417273433
BaseRepresentation
bin10001011011000…
…11100110010000
3101012000200211221
420231203212100
5244404110031
622300414424
73423224332
oct1055434620
9335020757
10146160016
117555a202
1240b47414
1324386122
14155a9452
15cc71a11
hex8b63990

146160016 has 60 divisors (see below), whose sum is σ = 305647972. Its totient is φ = 67682304.

The previous prime is 146160011. The next prime is 146160019. The reversal of 146160016 is 610061641.

It can be written as a sum of positive squares in 6 ways, for example, as 1679616 + 144480400 = 1296^2 + 12020^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146160011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337336 + ... + 337768.

Almost surely, 2146160016 is an apocalyptic number.

146160016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146160016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152823986).

146160016 is an abundant number, since it is smaller than the sum of its proper divisors (159487956).

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

146160016 is a wasteful number, since it uses less digits than its factorization.

146160016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 146160016 is about 12089.6656694881. The cubic root of 146160016 is about 526.7560438676.

The spelling of 146160016 in words is "one hundred forty-six million, one hundred sixty thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 289 292 433 578 584 866 1156 1168 1241 1732 2312 2482 3464 4624 4964 6928 7361 9928 14722 19856 21097 29444 31609 42194 58888 63218 84388 117776 125137 126436 168776 250274 252872 337552 500548 505744 537353 1001096 1074706 2002192 2149412 4298824 8597648 9135001 18270002 36540004 73080008 146160016