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149320640 = 2657289107
BaseRepresentation
bin10001110011001…
…11001111000000
3101101222021102002
420321213033000
5301211230030
622452243132
73462130100
oct1071471700
9341867362
10149320640
1177318897
12420104a8
1324c21911
1415b8d200
15d198245
hex8e673c0

149320640 has 168 divisors, whose sum is σ = 422178480. Its totient is φ = 50147328.

The previous prime is 149320609. The next prime is 149320679. The reversal of 149320640 is 46023941.

149320640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1395467 + ... + 1395573.

Almost surely, 2149320640 is an apocalyptic number.

149320640 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 149320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211089240).

149320640 is an abundant number, since it is smaller than the sum of its proper divisors (272857840).

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

149320640 is a wasteful number, since it uses less digits than its factorization.

149320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 149320640 is about 12219.6824836000. The cubic root of 149320640 is about 530.5259286330.

The spelling of 149320640 in words is "one hundred forty-nine million, three hundred twenty thousand, six hundred forty".