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149589660 = 2235111979151
BaseRepresentation
bin10001110101010…
…00111010011100
3101102110221102210
420322220322130
5301243332120
622502120420
73464330313
oct1072507234
9342427383
10149589660
1177491a20
1242120110
1324cb71bc
1415c1d27a
15d1ecce0
hex8ea8e9c

149589660 has 192 divisors, whose sum is σ = 490291200. Its totient is φ = 33696000.

The previous prime is 149589659. The next prime is 149589667. The reversal of 149589660 is 66985941.

149589660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149589667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990585 + ... + 990735.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2149589660 is an apocalyptic number.

149589660 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 149589660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

149589660 is an abundant number, since it is smaller than the sum of its proper divisors (340701540).

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

149589660 is a wasteful number, since it uses less digits than its factorization.

149589660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 149589660 is about 12230.6851811336. The cubic root of 149589660 is about 530.8443406543.

The spelling of 149589660 in words is "one hundred forty-nine million, five hundred eighty-nine thousand, six hundred sixty".