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154316064 = 2537229637
BaseRepresentation
bin10010011001010…
…10110100100000
3101202101001211210
421030222310200
5304001103224
623151310120
73552444030
oct1114526440
9352331753
10154316064
117a11aa41
124381b340
1325c805a6
14166cd8c0
15d833429
hex932ad20

154316064 has 48 divisors (see below), whose sum is σ = 462950208. Its totient is φ = 44090112.

The previous prime is 154316059. The next prime is 154316083. The reversal of 154316064 is 460613451.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114147 + ... + 115490.

It is an arithmetic number, because the mean of its divisors is an integer number (9644796).

Almost surely, 2154316064 is an apocalyptic number.

154316064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

154316064 is an abundant number, since it is smaller than the sum of its proper divisors (308634144).

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

154316064 is a wasteful number, since it uses less digits than its factorization.

154316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229657 (or 229649 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 154316064 is about 12422.4017001544. The cubic root of 154316064 is about 536.3772869037.

The spelling of 154316064 in words is "one hundred fifty-four million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 229637 459274 688911 918548 1377822 1607459 1837096 2755644 3214918 3674192 4822377 5511288 6429836 7348384 9644754 11022576 12859672 19289508 22045152 25719344 38579016 51438688 77158032 154316064