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149913306 = 23219974519
BaseRepresentation
bin10001110111101…
…11111011011010
3101110002101101200
420323313323122
5301334211211
622513055030
73500146014
oct1073677332
9343071350
10149913306
11776930a4
1242257476
132509b5ca
1415ca51b4
15d263b56
hex8ef7eda

149913306 has 48 divisors (see below), whose sum is σ = 345508800. Its totient is φ = 46842624.

The previous prime is 149913271. The next prime is 149913317. The reversal of 149913306 is 603319941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30915 + ... + 35433.

It is an arithmetic number, because the mean of its divisors is an integer number (7198100).

Almost surely, 2149913306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149913306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172754400).

149913306 is an abundant number, since it is smaller than the sum of its proper divisors (195595494).

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

149913306 is a wasteful number, since it uses less digits than its factorization.

149913306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 149913306 is about 12243.9089346499. The cubic root of 149913306 is about 531.2269025067.

Subtracting from 149913306 its sum of digits (36), we obtain a triangular number (149913270 = T17315).

The spelling of 149913306 in words is "one hundred forty-nine million, nine hundred thirteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 582 873 1746 1843 3686 4519 5529 9038 11058 13557 16587 27114 33174 40671 81342 85861 171722 257583 438343 515166 772749 876686 1315029 1545498 2630058 3945087 7890174 8328517 16657034 24985551 49971102 74956653 149913306