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149287320 = 23335731331
BaseRepresentation
bin10001110010111…
…11000110011000
3101101220120201000
420321133012120
5301204143240
622451425000
73461631000
oct1071370630
9341816630
10149287320
11772a5856
1241bb5160
1324c0c6c0
1415b81000
15d18d430
hex8e5f198

149287320 has 512 divisors, whose sum is σ = 645120000. Its totient is φ = 30481920.

The previous prime is 149287297. The next prime is 149287339. The reversal of 149287320 is 23782941.

149287320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4815705 + ... + 4815735.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 2149287320 is an apocalyptic number.

149287320 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 149287320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

149287320 is an abundant number, since it is smaller than the sum of its proper divisors (495832680).

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

149287320 is a wasteful number, since it uses less digits than its factorization.

149287320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 149287320 is about 12218.3190333204. The cubic root of 149287320 is about 530.4864644773.

The spelling of 149287320 in words is "one hundred forty-nine million, two hundred eighty-seven thousand, three hundred twenty".