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149642016 = 2531558771
BaseRepresentation
bin10001110101101…
…01101100100000
3101102120121020220
420322311230200
5301302021031
622503203040
73464636046
oct1072655440
9342517226
10149642016
1177518297
1242146480
1325004c94
1415c34396
15d20d596
hex8eb5b20

149642016 has 24 divisors (see below), whose sum is σ = 392810544. Its totient is φ = 49880640.

The previous prime is 149642011. The next prime is 149642027. The reversal of 149642016 is 610246941.

149642016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (149642011) 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 3 ways as a sum of consecutive naturals, for example, 779290 + ... + 779481.

It is an arithmetic number, because the mean of its divisors is an integer number (16367106).

Almost surely, 2149642016 is an apocalyptic number.

149642016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149642016 is an abundant number, since it is smaller than the sum of its proper divisors (243168528).

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

149642016 is a wasteful number, since it uses less digits than its factorization.

149642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558784 (or 1558776 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149642016 is about 12232.8253482178. The cubic root of 149642016 is about 530.9062648195.

Adding to 149642016 its reverse (610246941), we get a palindrome (759888957).

The spelling of 149642016 in words is "one hundred forty-nine million, six hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1558771 3117542 4676313 6235084 9352626 12470168 18705252 24940336 37410504 49880672 74821008 149642016