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147146016 = 2531790163
BaseRepresentation
bin10001100010101…
…00010100100000
3101020212210101110
420301110110200
5300132133031
622333503320
73434502063
oct1061242440
9336783343
10147146016
1176072a86
1241341b40
132463cb64
14157848da
15cdb8c46
hex8c54520

147146016 has 48 divisors (see below), whose sum is σ = 408983904. Its totient is φ = 46162944.

The previous prime is 147145997. The next prime is 147146017. The reversal of 147146016 is 610641741.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (147146017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43450 + ... + 46713.

It is an arithmetic number, because the mean of its divisors is an integer number (8520498).

Almost surely, 2147146016 is an apocalyptic number.

147146016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

147146016 is an abundant number, since it is smaller than the sum of its proper divisors (261837888).

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

147146016 is a wasteful number, since it uses less digits than its factorization.

147146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90193 (or 90185 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 147146016 is about 12130.3757567521. The cubic root of 147146016 is about 527.9378944399.

Adding to 147146016 its reverse (610641741), we get a palindrome (757787757).

The spelling of 147146016 in words is "one hundred forty-seven million, one hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 90163 180326 270489 360652 540978 721304 1081956 1442608 1532771 2163912 2885216 3065542 4327824 4598313 6131084 8655648 9196626 12262168 18393252 24524336 36786504 49048672 73573008 147146016