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149605440 = 26351789103
BaseRepresentation
bin10001110101011…
…00110001000000
3101102111202002020
420322230301000
5301244333230
622502321440
73464424315
oct1072546100
9342452066
10149605440
11774a2866
1242129280
1324cc143a
1415c24d0c
15d202810
hex8eacc40

149605440 has 224 divisors, whose sum is σ = 513527040. Its totient is φ = 36765696.

The previous prime is 149605429. The next prime is 149605441. The reversal of 149605440 is 44506941.

It is not an unprimeable number, because it can be changed into a prime (149605441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1452429 + ... + 1452531.

Almost surely, 2149605440 is an apocalyptic number.

149605440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

149605440 is an abundant number, since it is smaller than the sum of its proper divisors (363921600).

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

149605440 is a wasteful number, since it uses less digits than its factorization.

149605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 149605440 is about 12231.3302628945. The cubic root of 149605440 is about 530.8630060022.

The spelling of 149605440 in words is "one hundred forty-nine million, six hundred five thousand, four hundred forty".