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149016096 = 2532517417
BaseRepresentation
bin10001110000111…
…00111000100000
3101101101210122200
420320130320200
5301122003341
622441533200
73456421155
oct1070347040
9341353580
10149016096
117712aaa9
1241aa4200
1324b46108
1415b1022c
15d137db6
hex8e1ce20

149016096 has 36 divisors (see below), whose sum is σ = 423765342. Its totient is φ = 49671936.

The previous prime is 149016073. The next prime is 149016121. The reversal of 149016096 is 690610941.

149016096 is a `hidden beast` number, since 1 + 49 + 0 + 1 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88736400 + 60279696 = 9420^2 + 7764^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149016096.

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 5 ways as a sum of consecutive naturals, for example, 258421 + ... + 258996.

Almost surely, 2149016096 is an apocalyptic number.

149016096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149016096 is an abundant number, since it is smaller than the sum of its proper divisors (274749246).

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

149016096 is a wasteful number, since it uses less digits than its factorization.

149016096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517433 (or 517422 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 149016096 is about 12207.2149157783. The cubic root of 149016096 is about 530.1650085478.

The spelling of 149016096 in words is "one hundred forty-nine million, sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 517417 1034834 1552251 2069668 3104502 4139336 4656753 6209004 8278672 9313506 12418008 16557344 18627012 24836016 37254024 49672032 74508048 149016096