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149499360 = 253251731197
BaseRepresentation
bin10001110100100…
…10110111100000
3101102022100120100
420322102313200
5301232434420
622500142400
73463503123
oct1072226740
9342270510
10149499360
117743009a
1242097a00
1324c8507a
1415bd83ba
15d1d1190
hex8e92de0

149499360 has 288 divisors, whose sum is σ = 560431872. Its totient is φ = 36126720.

The previous prime is 149499359. The next prime is 149499367. The reversal of 149499360 is 63994941.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149499367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 758782 + ... + 758978.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2149499360 is an apocalyptic number.

149499360 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 149499360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936).

149499360 is an abundant number, since it is smaller than the sum of its proper divisors (410932512).

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

149499360 is a wasteful number, since it uses less digits than its factorization.

149499360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 149499360 is about 12226.9930890632. The cubic root of 149499360 is about 530.7375041867.

The spelling of 149499360 in words is "one hundred forty-nine million, four hundred ninety-nine thousand, three hundred sixty".