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149664096 = 2532519667
BaseRepresentation
bin10001110101110…
…11000101100000
3101102121201112200
420322323011200
5301303222341
622503453200
73465060321
oct1072730540
9342551480
10149664096
117753293a
1242157200
132501204a
1415c3c448
15d214db6
hex8ebb160

149664096 has 36 divisors (see below), whose sum is σ = 425608092. Its totient is φ = 49887936.

The previous prime is 149664079. The next prime is 149664101. The reversal of 149664096 is 690466941.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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, 259546 + ... + 260121.

It is an arithmetic number, because the mean of its divisors is an integer number (11822447).

Almost surely, 2149664096 is an apocalyptic number.

149664096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149664096 is an abundant number, since it is smaller than the sum of its proper divisors (275943996).

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

149664096 is a wasteful number, since it uses less digits than its factorization.

149664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519683 (or 519672 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 149664096 is about 12233.7278047208. The cubic root of 149664096 is about 530.9323756541.

The spelling of 149664096 in words is "one hundred forty-nine million, six hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 519667 1039334 1559001 2078668 3118002 4157336 4677003 6236004 8314672 9354006 12472008 16629344 18708012 24944016 37416024 49888032 74832048 149664096